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Volumn 36, Issue 4, 1996, Pages 825-856

On ill-posedness and a Tikhonov regularization for a multidimensional inverse hyperbolic problem

(1)  Yamamoto, Masahiro a  

a NONE

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Indexed keywords


EID: 0030327824     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518455     Document Type: Article
Times cited : (17)

References (24)
  • 5
    • 0002171573 scopus 로고
    • Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order
    • D. Fujiwara, Concrete characterization of the domains of fractional powers of some elliptic differential operators of the second order, Proc. Japan Acad., 43(1967), 82-86.
    • (1967) Proc. Japan Acad. , vol.43 , pp. 82-86
    • Fujiwara, D.1
  • 8
    • 0002322251 scopus 로고
    • On the degree of ill-posedness for nonlinear problems
    • B. Hofmann, On the degree of ill-posedness for nonlinear problems, Journal of Inverse and Ill-posed Problems, 2(1994), 61-76.
    • (1994) Journal of Inverse and Ill-posed Problems , vol.2 , pp. 61-76
    • Hofmann, B.1
  • 10
    • 0000785441 scopus 로고
    • Non homogeneous boundary value problems for second order hyperbolic operators
    • I. Lasiecka, J.-L. Lions and R. Triggiani, Non homogeneous boundary value problems for second order hyperbolic operators, J. Math. Pures Appl., 65(1986), 149-192.
    • (1986) J. Math. Pures Appl. , vol.65 , pp. 149-192
    • Lasiecka, I.1    Lions, J.-L.2    Triggiani, R.3
  • 11
    • 0005146814 scopus 로고
    • Ill-posed problems of mathematical physics and analysis
    • (English translation), Providence, Rhode Island
    • M. M. Lavrent'ev, V. G. Romanov and S. P. Shisha·skiǐ, Ill-posed Problems of Mathematical Physics and Analysis, (English translation), American Mathematical Society, Providence, Rhode Island, 1986.
    • (1986) American Mathematical Society
    • Lavrent'ev, M.M.1    Romanov, V.G.2    Shishaskiǐ, S.P.3
  • 14
    • 0000328519 scopus 로고
    • Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds
    • S. Minakshisundaram and Ȧ. Pleijel, Some properties of the eigenfunctions of the Laplace-operator on Riemannian manifolds, Canadian Journal of Mathematics, 1 (1949), 242-256.
    • (1949) Canadian Journal of Mathematics , vol.1 , pp. 242-256
    • Minakshisundaram, S.1    Pleijel, A.2
  • 15
    • 0013291693 scopus 로고
    • On the order of regularization methods
    • eds: G. Hämmerlin and K.-H. Hoffmann Birkhäuser Verlag, Basel
    • F. Natterer, On the order of regularization methods, "Improperly Posed Problems and Their Numerical Treatment" eds: G. Hämmerlin and K.-H. Hoffmann (1983), Birkhäuser Verlag, Basel, 189-203.
    • (1983) Improperly Posed Problems and Their Numerical Treatment , pp. 189-203
    • Natterer, F.1
  • 16
    • 84951418001 scopus 로고
    • Error bounds for tikhonov regularization in Hubert scales
    • F. Natterer, Error bounds for Tikhonov regularization in Hubert scales, Applicable Analysis, 18 (1984), 25-37.
    • (1984) Applicable Analysis , vol.18 , pp. 25-37
    • Natterer, F.1
  • 22
    • 0039685958 scopus 로고
    • Conditional stability in determination of force terms of heat equations in a rectangle
    • M. Yamamoto, Conditional stability in determination of force terms of heat equations in a rectangle, Mathematical and Computer Modelling, 18(1993), 79-88.
    • (1993) Mathematical and Computer Modelling , vol.18 , pp. 79-88
    • Yamamoto, M.1
  • 23
    • 18744397398 scopus 로고
    • Conditional stability in determination of densities of heat sources in a bounded domain
    • eds; W. Desch, F. Kappel and K. Kunisch Birkhäuser Verlag, Basel
    • M. Yamamoto, Conditional stability in determination of densities of heat sources in a bounded domain, in "Estimation and Control of Distributed Parameter Systems" eds; W. Desch, F. Kappel and K. Kunisch (1994), Birkhäuser Verlag, Basel.
    • (1994) Estimation and Control of Distributed Parameter Systems
    • Yamamoto, M.1
  • 24
    • 0038679238 scopus 로고
    • Well-posedness of some inverse hyperbolic problem by the Hilbert uniqueness method
    • M. Yamamoto, Well-posedness of some inverse hyperbolic problem by the Hilbert Uniqueness Method, Journal of Inverse and Ill-posed Problems, 2(1994), 349-368.
    • (1994) Journal of Inverse and Ill-posed Problems , vol.2 , pp. 349-368
    • Yamamoto, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.