Inverse problems: Mathematical and analytical techniques with applications to engineering

Inverse Problems: Mathematical and Analytical Techniques with Applications to Engineering

Volumn , Issue , 2005, Pages 1-442

  Ramm, Alexander G ^a  

^a NONE

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[No Author keywords available]

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EID: 84887975487     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1007/b100958     Document Type: Book

References (442)

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194. Ramm, A. G., Scalar scattering by the set of small bodies of an arbitrary shape, Radiofisika, 17 (1974), 1062-1068.
195. Ramm, A. G., New methods of calculation of the static and quasistatic electromagnetic waves, Proc. of the Fifth Intern. sympos. " Radioelectronics-74" Sofia, 3 (1974), 1-8 (report 12).
196. Ramm, A. G., Approximate solution of some integral equations of the first kind, Diff. eq. 11 (1975), 582-586.
197. Ramm, A. G., Estimates of some functionals in quasistatic electrodynamics, Ukrain. Phys. Jour., 5 (1975), 534-543.
198. Ramm, A. G., Wave scattering by small particles, Opt. and Spectroscopy, 43 (1977), 523-532.
199. Ramm, A. G., On simultaneous approximation of a function and its derivative by interpolation polynomials, Bull. Lond. Math. Soc., 9 (1977), 283-288.
200. Ramm, A. G., Investigation of some classes of integral equations and their application, In collection "Abel inversion and its generalizations", edited by N. Preobrazhensky, Siberian Dep. of Acad. Sci. USSR, Novosibirsk, 1978, pp. 120-179.
201. Ramm, A. G., Approximation by entire functions, Mathematics, Izv. vusov, 10 (1978), 72-76.
202. Ramm, A. G., On nonlinear equations with unbounded operators, Math. Nachr., 92 (1979), 13-20.
203. Ramm, A. G., Electromagnetic wave scattering by small bodies of arbitrary shapes, in the book: "Acoustic, electromagnetic and elastic scattering-Focus on T-matrix approach" Pergamon Press, N.Y. 1980, 537-546. (ed. V. Varadan).
204. Ramm, A. G., Theory and applications of some new classes of integral equations, Springer- Verlag, New York, 1980.
205. Ramm, A. G., Perturbation preserving asymptotics of spectrum of linear operators, J. Math. Anal. Appl., 76 (1980), 10-17.
206. Ramm, A. G., Two sided estimates of the scattering amplitude at low energies, J. Math. Phys., 21 (1980), 308-310.
207. Ramm, A. G., Nonselfadjoint operators in diffraction and scattering, Math. Methods in appl. sci., 2 (1980), 327-346.
208. Ramm, A. G., Eigenfunction expansion for nonselfadjoint operators, Rev. Roum. Math. Pure Appl., 25 (1980), 797-809.
209. Ramm, A. G., Theoretical and practical aspects of singularity and eigenmode expansion methods, IEEE A-P, 28, N6, (1980), 897-901.
210. Ramm, A. G., Existence uniqueness and stability of solutions to some nonlinear problems. Appl. Analysis, 11 (1981), 223-232.
211. Ramm, A. G., Stable solutions of some ill-posed problems, Math. Meth. in the appl. Sci., 3 (1981), 336-363.
212. Ramm, A. G., Variational principles for spectrum of compact nonselfadjoint operators, J. Math. Anal. Appl., 80 (1981), 291-293.
213. Ramm, A. G., On some properties of solutions of Helmholtz equation, J. Math. Phys., 22 (1981), 275-276.
214. Ramm, A. G., Spectral properties of some nonselfadjoint operators, Bull, Am. Math. Soc., 5, N3, (1981), 313-315.
215. Ramm, A. G., Spectral properties of some nonselfadjoint operators and some applications, in "Spectral theory of differential operators", Math. Studies, North Holland, Amsterdam, 1981, ed. I. Knowles and R. Lewis, 349-354.
216. Ramm, A. G., On the singularity and eigenmode expansion methods, Electromagnetics, 1, N4 (1981), 385-394.
217. Ramm, A. G., Electromagnetic wave scattering by small bodies, Nonlinear Vibr. Probl., 20 (1981), 109-120.
218. Ramm, A. G., Iterative methods for calculating static fields and wave scattering by small bodies, Springer Verlag, New York, 1982.
219. Ramm, A. G., Mathematical foundations of the singularity and eigenmode expansion methods. J. Math. Anal. Appl., 86 (1982), 562-591.
220. Ramm, A. G., Perturbations preserving asymptotics of spectrum with a remainder. Proc. Amer. Math. Soc., 85, N2, (1982), 209-212.
221. Ramm, A. G., Inverse scattering for geophysical problems. Phys. Letters, 99A (1983), 258-260.
222. Ramm, A. G., An inversion formula in scattering theory. Phys. Lett., 99A (1983), 201-204.
223. Ramm, A. G., On a property of the set of radiation patterns. J. Math. Anal. Appl., 98 (1984), 92-98.
224. Ramm, A. G., Scattering by a penetrable body. J. Math. Phys., 25, N3, (1984), 469-471.]
225. Ramm, A. G., Representations of solutions to Helmholtz's equation. J. Math. Phys., 25, N4, (1984), 807-809.
226. Ramm, A. G., Description of the degree of nonuniqueness in inverse source problem. J. Math. Phys., 25, N6, (1984), 1791-1793.
227. Ramm, A. G., Remarks about inverse diffraction problem. J. Math. Phys., 25, N11 (1984), 2672-2674.
228. Ramm, A. G., On inverse diffraction problem. J. Math. Anal. Appl., 103 (1984), 139-147.
229. Ramm, A. G., Inverse diffraction problem. Inverse methods in electromagnetic imaging, Ed. Boerner, W., Reidel, Dordrecht, 1985, pp. 231-249.
230. Ramm, A. G., Inverse scattering for geophysical problems. Inverse problems, 1, N2 (1985) 133-172.
231. Ramm, A. G., Wave scattering by small bodies. Reports Math. Phys., 21 (1985), 69-77.
232. Ramm, A. G., Offset measurements on a sphere at a fixed frequency do not determine the inhomogeneity uniquely, Inverse problems, 1 (1985), L35-L37.
233. Ramm, A. G., Inversion of the back scattering data and a problem of integral geometry. Phys. Lett., 113A (1985), 172-176.
234. Ramm, A. G., Inverse scattering in an absorptive medium. Inverse problems, 2 (1986), L5-L7.
235. Ramm, A.G., Singularities of the inverses of Fredholm operators. Proc. ofRoy. Soc. Edinburgh, 102A (1986), 117-121.
236. Ramm, A. G., Scattering by obstacles, D. Reidel, Dordrecht, 1986, pp. 1-442.
237. Ramm, A.G., Inverse scattering for geophysical problems IV. Inversion of the induction logging measurements. Geophysical prospecting, 34, N3, (1986), 293-301.
238. Ramm, A. G., A geometrical inverse problem. Inverse problems, 2 (1986), L19-21.
239. Ramm, A. G., Nonuniqueness of the solution to an inverse geophysical problem. Inverse problems, 2 (1986), L23-25.
240. Ramm, A. G., On completeness of the products of harmonic functions, Proc. A.M.S., 99 (1986), 253-256.
241. Ramm, A. G., Inversion of the Laplace transform from the real axis, Inverse problems, 2 (1986), L55-59.
242. Ramm, A. G., Inverse scattering for geophysical problems when the background is variable, J. Math. Phys., 27 (1986), 2687-2689.
243. Ramm, A. G., An inverse problem for the Helmholtz equation in a semi-infinite medium, Inverse problems, 3 (1987), L19-22.
244. Ramm, A. G., A method for solving inverse diffraction problems, Inverse problems, 3 (1987), L23-25.
245. Ramm, A. G., Characterization of the low-frequency scattering data in the inverse problems of geophysics, Inverse problems, 3 (1987), L33-35.
246. Ramm, A. G., Optimal estimation from limited noisy data, J. Math. Anal. Appl., 125 (1987), 258-266.
247. Ramm, A. G., Signal estimation from incomplete data, J. Math. Anal. Appl., 125 (1987), 267-271.
248. Ramm, A. G., Recovery of the potential from I-function, Math. Reports of the Acad. of Sci., Canada, 9 (1987), 177-182.
249. Ramm, A. G., Characterization of the scattering data in multidimensional inverse scattering problem, in the book: "Inverse Problems: An Interdisciplinary Study." Acad. Press, NY, 1987, 153-167. (Ed. P. Sabatier).
250. Ramm, A. G., Necessary and sufficient conditions for a function to be the scattering amplitude corresponding to a reflecting obstacle, Inverse problems, 3 (1987), L53-57.
251. Ramm, A. G., An inverse problem for Helmholtz's equation II, Inverse Problems, 3 (1987), L59-61.
252. Ramm, A. G., Necessary and sufficient conditions on the scattering data for the potential to be in L2, Inverse Problems, 3 (1987), L71-L76
253. Ramm, A. G., Completeness of the products of solutions to PDE and uniqueness theorems in inverse scattering, Inverse problems, 3 (1987), L77-L82
254. Ramm, A. G., Inverse problem for Helmholtz's equation. Intern J. of Math. and Math. Sci., 10 (1987), 825-827
255. Ramm, A. G., A uniqueness theorem for two-parameter inversion, Inverse Probl., 4 (1988), L7-10.
256. Ramm, A. G., A uniqueness theorem for a boundary inverse problem, Inverse Probl. 4 (1988), L1-5.
257. Ramm, A. G., Inverse scattering on half-line. J. Math. Anal. App., 133, 2 (1988), 543-572.
258. Ramm, A.G., Multidimensional inverse problems and completeness of the products of solutions to PDE. J. Math. Anal. Appl., 134, 1 (1988), 211-253;
259. J. Math. Anal. Appl., 139 (1989), 302.
260. Ramm, A. G., An inverse problem for biharmonic equation, Int. J. of Math. and Math. Sci., 11 (1988), 413-415.
261. Ramm, A. G., A uniqueness theorem for an inverse problem. Appl. Math. Lett., 1 (1988), 185-187.
262. Ramm, A. G., A criterion for completeness of the set of scattering amplitudes, Phys. Lett. A. 129 (1988), 191-194.
263. Ramm, A. G., Recovery of the potential from fixed energy scattering data, Inverse Problems, 4 (1988), 877-886;
264. Inverse Problems, 5 (1989), 255.
265. Ramm, A. G., A simple proof of uniqueness theorem in impedance tomography, Appl. Math. Lett., 1, N3, (1988), 287-290.
266. Ramm, A. G., Numerical method for solving 3D inverse scattering problems, Appl. Math. Lett., 1, N4 (1988), 381-384.
267. Ramm, A. G., Uniqueness theorems for multidimensional inverse problems with unbounded coefficients. J. Math. Anal. Appl., 136 (1988), 568-574.
268. Ramm, A. G., Numerical method for solving 3D inverse problems of geophysics, J. Math. Anal. Appl., 136 (1988), 352-356.
269. Ramm, A. G., Multidimensional inverse problems: Uniqueness theorems, Appl. Math. Lett., 1, N4, (1988), 377-380.
270. Ramm, A. G., Multidimensional inverse scattering problems and completeness of the products of solutions to homogeneous PDE. Zeitschr. f. angew. Math. u. Mech., 69 (1989) N4, T13-T22.
271. Ramm, A. G., Numerical method for solving 3D inverse problems with complete and incomplete data, In the book: "Wave Phenomena", Springer-Verlag, New York, 1989 (eds. L. Lam and H. Morris), 34-43.
272. Ramm, A. G., Numerical recovery of the 3D potential from fixed energy incomplete scattering data, Appl. Math. Lett., 2, N1, (1989), 101-104.
273. Ramm, A. G., Necessary and sufficient condition for a scattering amplitude to correspond to a spherically symmetric scatterer, Appl. Math. Lett., 2 (1989), 263-265.
274. Ramm, A.G., An inverse problem for Maxwell's equations, Phys. Lett., A 138 (1989), 459-462.
275. Ramm, A. G., Property C and uniqueness theorems for multidimensional inverse spectral problem, Appl. Math. Lett., 3 (1990), 57-60.
276. Ramm, A. G., Random fields estimation theory, Longman Scientific and Wiley, New York, 1990.
277. Ramm, A. G., Stability of the numerical method for solving the 3D inverse scattering problem with fixed energy data, Inverse problems 6 (1990), L7-12.
278. Ramm, A. G., Algorithmically verifiable characterization of the class of scattering amplitudes for small potentials, Appl. Math. Lett., 3 (1990), 61-65.
279. Ramm, A. G., Is the Born approximation good for solving the inverse problem when the potential is small? J. Math. Anal. Appl., 147 (1990), 480-485.
280. Ramm, A. G., Completeness of the products of solutions of PDE and inverse problems, Inverse Probl. 6 (1990), 643-664.
281. Ramm, A. G., Uniqueness result for inverse problem of geophysics I, Inverse Probl. 6 (1990), 635-642.
282. Ramm, A. G., Uniqueness theorems for geophysical problems with incomplete surface data, Appl. Math. Lett., 3 (1990), N4, 41-44.
283. Ramm, A. G., Symmetry properties for scattering amplitudes and applications to inverse problems, J. Math. Anal. Appl., 156 (1991), 333-340.
284. Ramm, A. G., Necessary and sufficient condition for a PDE to have property C, J. Math. Anal. Appl., 156, (1991), 505-509.
285. Ramm, A. G., Stability of the numerical method for solving 3D inverse scattering problem with fixed energy data, J.f.die reine und angew. Math., 414 (1991), 1-21.
286. Ramm, A. G., Finding conductivity from boundary measurements, Comp. & Math. with Appl., 21, N8, (1991), 85-91
287. Ramm, A. G., Exact inversion of fixed-energy data, in the book Mathematical and Numerical Aspects of Wave Propagation Phenomena, SIAM, Philadelphia (1991), pp. 481-486
288. Ramm, A. G., Property C and inverse problems, ICM-90 Satellite Conference Proceedings, Inverse Problems in Engineering Sciences, Proc. of a conference held in Osaka, Japan, Aug. 1990, Springer Verlag, New York, 1991, pp. 139-144.
289. Ramm, A. G., Can a constant be a scattering amplitude? Phys.Lett., 154A (1991), 35-37.
290. Ramm, A. G., Inversion of limited-angle tomographic data, Comp. and Math. with Applic., 22, 4/5 (1991), 101-112.
291. Ramm, A. G., On a problem of integral geometry, Comp. and Math. with Appl., 22, 4/5 (1991), 113-118.
292. Ramm, A. G., Solution of some integral equations arising in integral geometry, Appl. Math. Lett., 4 (1991), 177-181.
293. Ramm, A. G., Inversion of the Radon transform with incomplete data, Math. Methods in the Appl. Sci., 15, N3, (1992), 159-166.
294. Ramm, A. G., Multidimensional inverse scattering problems, Longman/Wiley, New York, 1992, pp. 1-385.
295. Ramm, A. G., Stability of the solution to inverse scattering problem with exact data, Appl. Math. Lett., 5, 1 (1992), 91-94.
296. Ramm, A. G., Inversion of limited-angle tomographic data II, Appl. Math. Lett., 5, N2, (1992), 47-49.
297. Ramm, A. G., Inverse scattering problem with fixed-energy data, Appl. Math. Lett., 5, N4, (1992), 63-67.
298. Ramm, A. G., Stability estimates in inverse scattering, Acta Appl. Math., 28, N1, (1992), 1-42.
299. Ramm, A. G., Numerical solution of 3D inverse scattering problems with noisy discrete fixedenergy data, Appl. Math. Lett., 5, N6, (1992), 15-18.
300. Ramm, A. G., Stability of the inversion of 3D fixed-frequency data, J. Math. Anal. Appl., 169, N2 (1992), 329-349.
301. Ramm, A. G., Stability of the solution to 3D fixed-energy inverse scattering problem, J. Math. Anal. Appl., 170, N1, (1992), 1-15.
302. Ramm, A. G., Uniqueness and inversion of cone-beam data, Appl. Math. Lett., 6, N1, (1993), 35-38.
303. Ramm, A. G., An inverse problem for the heat equation, Proc. Roy. Soc. Edinburgh, 123, N6 (1993), 973-976.
304. Ramm, A. G., Approximation by the scattering solutions and applications to inverse scattering, Math. Comp. Modelling, 18, N1, (1993), 47-56.
305. Ramm, A. G., Comments on the letter of P. Sabatier "An erroneous statement", http://www.arxiv.org, paper math-ph/0308025
306. Ramm, A. G., Property C with constraints and inverse problems, J. of Inverse and Ill-Posed Problems, 1, N3, (1993), 227-230.
307. Ramm, A. G., Algorithm for solving 3D inverse scattering problems with noisy discrete fixedenergy data, Proceedings of ICES-92 conference on inverse problems. In the book: Inverse Problems, Atlanta Technology Publications, Atlanta, Georgia (1993), pp. 70-74.
308. Ramm, A.G., Scattering amplitude is not a finite rank kernel in the basis of spherical harmonics, Appl. Math. Lett., 6, N5 (1993), 89-92.
309. Ramm, A. G., New method for proving uniqueness theorems for obstacle inverse scattering problems, Appl. Math. Lett., 6, N6, (1993), 19-22.
310. Ramm, A. G., Scattering amplitude as a function of the obstacle, Appl. Math. Lett., 6, N5 (1993), 85-87.
311. Ramm, A. G., Simplified optimal differentiators, Radiotech.i Electron., 17 (1972), 1325-1328.
312. Ramm, A. G., Multidimensional inverse scattering problems, Mir Publishers, Moscow, 1994, pp. 1-496. (Russian translation of the expanded monograph 278).
313. Ramm, A. G., A numerical approach to 3D inverse scattering problems, Appl.Math.Lett.7, N2 (1994), 57-61
314. Ramm, A. G., Numerical method for solving inverse scattering problems, Doklady of Russian Acad. of Sci., 337, N1, (1994), 20-22.
315. Ramm, A. G., Multidimensional inverse scattering: solved and unsolved problems, Proc. Intern. Confer. on Dynamical Syst. and Applic., Vol. 1, Atlanta (1994), pp. 287-296. (Eds. G. Ladde and M. Sambandham).
316. Ramm, A. G., Inversion of fixed-frequency surface data for layered medium, J. of Inverse and Ill-Posed Problems, 2, N3, (1994), 263-268.
317. Ramm, A. G., Stability of the solution to inverse obstacle scattering problem, J. Inverse and Ill-Posed Problems, 2, N3, (1994), 269-275.
318. Ramm, A. G., Stability of the solution to 3D inverse scattering problems with fixed-energy data. Proc. ASME Nov. 6-11, 1994, meeting. Inverse problems in mechanics, AMD-Vol 186, pp. 99-102.
319. Ramm, A. G., Stability estimates for obstacle scattering, J. Math. Anal. Appl., 188, N3, (1994), 743-751.
320. Ramm, A. G., Examples of nonuniqueness for an inverse problems of geophysics, Appl. Math. Lett., 8, N4, (1995), 87-90.
321. Ramm, A. G., Property C with constraints, Compt. Rendus, Paris, ser 1, 321, N11, (1995), 1413-1417.
322. Ramm, A.G., Continuous dependence of the scattering amplitude on the surface of an obstacle, Math. Methods in the Appl. Sci., 18 (1995), 121-126.
323. Ramm, A. G., Estimates of the derivatives of random functions, J. Math. Anal. Appl., 102 (1984), 244-250.
324. Ramm, A. G., A formula for inversion of boundary data, J. of Inverse and Ill-Posed Problems, 3, N5 (1995), 411-415.
325. Ramm, A. G., Radon transform on distributions, Proc. Japan Acad., ser A, 71, N9, (1995), 202-206.
326. Ramm, A. G., Uniqueness theorems for inverse obstacle scattering problems in Lipschitz domains, Applic. Analysis, 59 (1995), 377-383.
327. Ramm, A. G., Finding potential from the fixed-energy scattering data via D-N map, J. of Inverse and Ill-Posed Problems, 4, N2, (1996), 145-152.
328. Ramm, A.G., Necessary and sufficient conditions for aPDOto be a local tomography operator, Comptes Rend. Acad. Sci., Paris, 332, N7, (1996), 613-618.
329. Ramm, A. G., Minimization of the total radiation from an obstacle by a control function on a part of the boundary, Jour. of Inverse and Ill-posed Prob., 4, N6 (1996), 531-534.
330. Ramm, A. G., Random fields estimation theory, MIR, Moscow, 1996, pp. 1-352 (expanded Russian edition of monograph 246).
331. Ramm, A. G., New methods for finding discontinuities of functions from local tomographic data, Jour. of Inverse and Ill-Posed Problems, 5, N2, (1997), 165-174.
332. Ramm, A. G., The Pompeiu problem, Applicable Analysis, 64, N1-2, (1997), 19-26.
333. Ramm, A. G., Multidimensional inverse scattering with fixed-energy data, in the book "Quantum Inversion", Lecture Notes in physics vol. 488, pp. 373-384, Springer Verlag, Berlin, 1997 (ed. B.Apagyi).
334. Ramm, A. G., A method for finding small inhomogeneities from surface data, Math. Sci. Research Hot-Line, 1, N10, (1997), 40-42.
335. Ramm, A. G., Fundamental solutions to elliptic equations with discontinuous senior coefficients and an inequality for these solutions. Math. Ineq. and Applic., 1, N1, (1998), 99-104.
336. Ramm, A. G., Recovery of compactly supported spherically symmetric potentials from the phase shift of s-wave, In the book: Spectral and scattering theory, Plenum publishers, New York, 1998 (ed. A. G. R), pp. 111-130.
337. Ramm, A. G., Inequalities for norms of some integral operators Math. Ineq. and Applic., 1, N2, (1998), 259-265.
338. Ramm, A. G., Recovery of a quarkonium system from experimental data, Jour. of Phys. A, 31, N15, (1998), L295-L299.
339. Ramm, A. G., Compactly supported spherically symmetric potentials are uniquely determined by the phase shift of s-wave, Phys. Lett. A, 242, N4-5, (1998), 215-219.
340. Ramm, A. G., Theory of ground-penetrating radars II, Jour of Inverse and Ill-Posed Probl., 6, N6, (1998), 619-624.
341. Ramm, A. G., Necessary and sufficient condition for a domain, which fails to have Pompeiu property, to be a ball, Jour of Inverse and Ill-Posed Probl., 6, N2, (1998), 165-171.
342. Ramm, A. G., A new approach to the inverse scattering and spectral problems for the Sturm- Liouville equation, Ann. der Phys., 7, N4, (1998), 321-338.
343. Ramm, A. G., Property C for ODE and applications to inverse scattering, Zeit. fuer Angew. Analysis, 18, N2, (1999), 331-348.
344. Ramm, A. G., Analytical solution of a new class of integral equations, Diff. Integral Eqs., 16, N2, (2003), 231-240.
345. Ramm, A. G., A numerical method for some nonlinear problems, Math. Models and Meth. in Appl. Sci., 9, N2, (1999), 325-335.
346. Ramm, A. G., Inverse problem for an inhomogeneous Schr□dinger equation, Jour. Math. Phys., 40, N8, (1999), 3876-3880.
347. Ramm, A. G., Inverse scattering problem with part of the fixed-energy phase shifts, Comm. Math. Phys., 207, N1, (1999), 231-247.
348. Ramm, A. G., Finding small inhomogeneities from surface scattering data, Jour. of Inverse and Ill-Posed Problems, 8, N2, (2000), 205-210.
349. Ramm, A. G., Inequalities for the derivatives, Math. Ineq. and Appl., 3, N1, (2000), 129-132.
350. Ramm, A. G., The ground-penetrating radar problem III Jour. of Inverse and Ill-Posed Problems, 8, N1, (2000), 23-31.
351. Ramm, A.G., PropertyCforODEand applications to inverse problems, in the book "Operator Theory and Its Applications", Amer. Math. Soc., Fields Institute Communications vol. 25 (2000), pp. 15-75, Providence, RI. (editors A. G. R, P. N. Shivakumar, A. V. Strauss).
352. Ramm, A. G., Krein's method in inverse scattering, in the book "Operator Theory and Its Applications", Amer. Math. Soc., Fields Institute Communications vol. 25, pp. 441-456, Providence, RI, 2000. (editors A. G. R, P. N. Shivakumar, A. V. Strauss).
353. Ramm, A. G., A non-overdetermined inverse problem of finding the potential from the spectral function, IJDEA (Intern. J. of Diff. Eq. and Appl.), 3, N1, (2001), 15-29.
354. Ramm, A. G., An inverse problem of ocean acoustics, Jour. of Inverse and Ill-Posed Probl., 9, N1, (2001), 95-102.
355. Ramm, A. G., Linear ill-posed problems and dynamical systems, Jour. Math. Anal. Appl., 258, N1, (2001), 448-456.
356. Ramm, A. G., An inverse problem for the heat equation, Jour. of Math. Anal. Appl., 264, N2, (2001), 691-697.
357. Ramm, A. G., Reconstruction of the potential from I-function, Jour. of Inverse and Ill-Posed Probl., 10, N4, (2002), 385-395.
358. Ramm, A. G., Stability of solutions to inverse scattering problems with fixed-energy data, Milan Journ of Math., 70 (2002), 97-161.
359. Ramm, A. G., Regularization of ill-posed problems with unbounded operators, J. Math. Anal. Appl., 271 (2002), 547-550.
360. Ramm, A. G., Modified Rayleigh conjecture and applications, Jour. Phys. A, 35 (2002), L357- 361.
361. Ramm, A. G., Analysis of the Newton-Sabatier scheme for inverting fixed-energy phase shifts, Applic. Analysis, 81, N4, (2002), 965-975.
362. Ramm, A. G., A counterexample to a uniqueness result, Applic. Analysis, 81, N4, (2002), 833-836.
363. Ramm, A. G., Exterior boundary value problems as limits of interface problems, J. Math. Anal. Appl., 84 (1981), 256-263.
364. Ramm, A. G., An inverse problem for the heat equation II, Applic. Analysis, 81, N4, (2002), 929-937.
365. Ramm, A. G., Acceleration of convergence of a continuous analog of the Newton method, Applic. Analysis, 81, N4, (2002), 1001-1004.
366. Ramm, A. G., Injectivity of the spherical means operator, Compt. Rend. Acad Sci., Paris, Ser I, 335, N12, (2002), 1033-1038.
367. Ramm, A. G., Dynamical systems method for solving equations with non-smooth monotone operators.
368. Ramm, A. G., On a new notion of regularizer, J. Phys. A., 36 (2003), 2191-2195.
369. Ramm, A. G., Inequalities for the transformation operators and applications, JIPAM ( Jour. of Inequalities in Pure and Appl. Math. 4, N4, (2003), paper 69.
370. Ramm, A. G., Equations for the self-consistent field in random medium, Phys. Lett. A, 312, N3-4 (2003), 256-261.
371. Ramm, A. G., Dynamical systems method for solving operator equations, Communic. in Nonlinear Sci. and Numer. Simulation, 9, N2, (2004), 383-402.
372. Ramm, A. G., Global convergence for ill-posed equations with monotone operators: the dynamical systems method, J. Phys. A, 36 (2003), L249-L254.
373. Ramm, A. G., On the discrepancy principle, Nonlinear Functional Anal. and Applic., 8, N2, (2003), 307-312.
374. Ramm, A. G., DSM for ill-posed equations with monotone operators, Communic. in Nonlinear Sci. and Numer. Simulation, (to appear)
375. Ramm, A. G., Discrepancy principle for the dynamical systems method, Communic. in Nonlinear Sci. and Numer. Simulation, 10, N1, (2005), 95-101.
376. Ramm, A. G., One-dimensional inverse scattering and spectral problems Revista Cubo, 6, N1, (2004), 313-426.
377. Ramm, A. G., Dynamical systems method and surjectivity of nonlinear maps. Communic. in Nonlinear Sci. and Numer. Simulation, (to appear)
378. Ramm, A. G., Arredondo, J., and Izquierdo, B., Formula for the radius of the support of the potential in terms of the scattering data, Jour. of Phys. A, 31, N1, (1998), L39-L44.
379. Ramm, A. G. and Frolov, L., Calculation of the magnetization of thin films, Microelectronics, 6 (1971), 65-68.
380. Ramm, A. G. and Galstian, A., On deconvolution methods, Internat. Jour. of Engin. Sci., 41, N1, (2003), 31-43.
381. Ramm, A. G. and Ghosh Roy, D. Inverse geophysical problems for some non-compactly supported inhomogeneities, Appl. Math. Lett., 6, N6, (1993), 15-18.
382. Ramm, A. G. and Gutman, S., Modified Rayleigh conjecture for scattering by periodic structures, (to appear)
383. Ramm, A. G. and Gutman, S., Analysis of a method for identification of obstacles (submitted)
384. Ramm, A. G. and Gutman, S., Numerical solution of obstacle scattering problems (to appear)
385. Ramm, A.G. and Gutman, S., Optimization methods in direct and inverse scattering (to appear)
386. Ramm, A. G. and Harris, J., Inversion of the acoustic well to well data, Appl. Math. Lett., 1 (1988), 127-131.
387. Ramm, A. G. and Katsevich, A. I., The Radon Transform and Local Tomography, CRC Press, Boca Raton, 1996.
388. Ramm, A. G. and Koshkin, S., An inverse problem for an abstract evolution equation, Applic. Analysis, 79, N3-4, (2001), 475-482.
389. Ramm, A. G. and Li. P., Numerical recovery of the layered medium, J. of Comput. and Appl. Math., 25, N3, (1989), 267-276.
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