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Volumn 11, Issue 6, 2001, Pages 459-471

Estimates for the scattering map associated with a two-dimensional first-order system

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EID: 0042872733     PISSN: 09388974     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00332-001-0394-8     Document Type: Article
Times cited : (31)

References (15)
  • 2
    • 0007059921 scopus 로고
    • Multidimensional inverse scatterings and nonlinear partial differential equations
    • Pseudodifferential operators and applications (F. Treves, ed.), Amer. Math. Soc.
    • R. Beals and R. R. Coifman, Multidimensional inverse scatterings and nonlinear partial differential equations, Pseudodifferential operators and applications (F. Treves, ed.), Proceedings of symposia in pure mathematics, vol. 43, Amer. Math. Soc., 1985, pp. 45-70.
    • (1985) Proceedings of Symposia in Pure Mathematics , vol.43 , pp. 45-70
    • Beals, R.1    Coifman, R.R.2
  • 4
    • 0002530625 scopus 로고
    • Linear spectral problems, nonlinear equations and the ∂-method
    • R. Beals and R. R. Coifman, Linear spectral problems, nonlinear equations and the ∂-method, Inverse Problems 5 (1989), no. 2, 87-130.
    • (1989) Inverse Problems , vol.5 , Issue.2 , pp. 87-130
    • Beals, R.1    Coifman, R.R.2
  • 5
    • 0001659228 scopus 로고    scopus 로고
    • Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions
    • R. M. Brown and G. A. Uhlmann, Uniqueness in the inverse conductivity problem for nonsmooth conductivities in two dimensions, Commun. Part. Diff. Eq. 22 (1997), no 5-6, 1009-1027.
    • (1997) Commun. Part. Diff. Eq. , vol.22 , Issue.5-6 , pp. 1009-1027
    • Brown, R.M.1    Uhlmann, G.A.2
  • 6
    • 0001605032 scopus 로고
    • On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations
    • A. S. Fokas and L.-Y. Sung, On the solvability of the N-wave, Davey-Stewartson and Kadomtsev-Petviashvili equations, Inverse Problems 8 (1992), no. 5, 673-708.
    • (1992) Inverse Problems , vol.8 , Issue.5 , pp. 673-708
    • Fokas, A.S.1    Sung, L.-Y.2
  • 7
    • 0001465096 scopus 로고
    • On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane
    • A. S. Fokas and M. J. Ablowitz, On the inverse scattering transform of multidimensional nonlinear equations related to first-order systems in the plane, J. Math. Phys. 25 (1984), 2494-2505.
    • (1984) J. Math. Phys. , vol.25 , pp. 2494-2505
    • Fokas, A.S.1    Ablowitz, M.J.2
  • 8
    • 0348090464 scopus 로고
    • On the initial value problem for the Davey-Stewartson svstem
    • J. M. Ghidaglia and J. C. Saut, On the initial value problem for the Davey-Stewartson svstem, Nonlinearity 3 (1990), 475-506.
    • (1990) Nonlinearity , vol.3 , pp. 475-506
    • Ghidaglia, J.M.1    Saut, J.C.2
  • 9
    • 0000298073 scopus 로고
    • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
    • E. H. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. of Math. (2) 118 (1983), no. 2, 349-374.
    • (1983) Ann. of Math. (2) , vol.118 , Issue.2 , pp. 349-374
    • Lieb, E.H.1
  • 11
    • 0030550779 scopus 로고    scopus 로고
    • Global uniqueness for a two-dimensional inverse boundary value problem
    • A. I. Nachman, Global uniqueness for a two-dimensional inverse boundary value problem, Ann. of Math. (2) 143 (1996), 71-96.
    • (1996) Ann. of Math. (2) , vol.143 , pp. 71-96
    • Nachman, A.I.1
  • 13
    • 38149146155 scopus 로고
    • An inverse scattering transform for the Davey-Stewartson II equations, I
    • Li-Yeng Sung, An inverse scattering transform for the Davey-Stewartson II equations, I, J. Math. Anal. Appl. 183 (1994), 121-154.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 121-154
    • Sung, L.-Y.1
  • 14
    • 38149148161 scopus 로고
    • An inverse scattering transform for the Davey-Stewartson II equations, II
    • Li-Yeng Sung, An inverse scattering transform for the Davey-Stewartson II equations, II, J. Math. Anal. Appl. 183 (1994), 289-325.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 289-325
    • Sung, L.-Y.1
  • 15
    • 38149147423 scopus 로고
    • An inverse scattering transform for the Davey-Stewartson II equations, III
    • Li-Yeng Sung, An inverse scattering transform for the Davey-Stewartson II equations, III, J. Math. Anal. Appl. 183 (1994), 477-494.
    • (1994) J. Math. Anal. Appl. , vol.183 , pp. 477-494
    • Sung, L.-Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.