Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly
Tài liệu tham khảo
Hayashi, 1987, Scattering theory for Hartree type equations, Ann. Inst. H. Poincare Phys. Theor., 46, 187
Mochizuki, 1989, On small data scattering with cubic convolution nonlinearity, J. Math. Soc. Japan, 41, 143, 10.2969/jmsj/04110143
Sasaki, 2007, Remark on inverse scattering for the Schrödinger equation with cubic convolution nonlinearity, J. Phys. Conf. Ser., 73, 012021, 10.1088/1742-6596/73/1/012021
Sasaki, 2007, The inverse scattering problem for Schrödinger and Klein–Gordon equations with a nonlocal nonlinearity, Nonlinear Anal., 66, 1770, 10.1016/j.na.2006.02.022
Sasaki, 2008, Inverse scattering for the nonlinear Schrödinger equation with the Yukawa potential, Comm. Partial Differential Equations, 33, 1175, 10.1080/03605300701790245
Sasaki, 2005, Uniqueness on identification of cubic convolution nonlinearity, J. Math. Anal. Appl., 309, 294, 10.1016/j.jmaa.2005.01.031
Strauss, 1974, Nonlinear scattering theory, 53
Strauss, 1981, Nonlinear scattering theory at low energy: sequel, J. Funct. Anal., 43, 281, 10.1016/0022-1236(81)90019-7
Watanabe, 2001, Inverse scattering for the nonlinear Schrödinger equation with cubic convolution nonlinearity, Tokyo J. Math., 24, 59, 10.3836/tjm/1255958311
Watanabe, 2001, Uniqueness in the inverse scattering problem for Hartree type equation, Proc. Japan Acad. Ser. A Math. Sci., 77, 143, 10.3792/pjaa.77.143
Watanabe, 2002, Reconstruction of the Hartree-type nonlinearity, Inverse Problems, 18, 1477, 10.1088/0266-5611/18/6/302
Watanabe, 2007, Inverse scattering problem for time dependent Hartree–Fock equations in the three-body case, J. Math. Phys., 48, 053510, 10.1063/1.2732171
Watanabe, 2007, A remark on inverse scattering for time dependent Hartree equations, J. Phys. Conf. Ser., 73, 012025, 10.1088/1742-6596/73/1/012025
Weder, 1997, Inverse scattering for the nonlinear Schrödinger equation, Comm. Partial Differential Equations, 22, 2089, 10.1080/03605309708821332
Weder, 2000, Lp–Lp′ estimates for the Schrödinger equation on the line and inverse scattering for the nonlinear Schrödinger equation with a potential, J. Funct. Anal., 170, 37, 10.1006/jfan.1999.3507
Weder, 2001, Inverse scattering for the non-linear Schrödinger equation: reconstruction of the potential and the non-linearity, Math. Methods Appl. Sci., 24, 245, 10.1002/mma.216
Weder, 2001, Inverse scattering for the nonlinear Schrödinger equation. II. Reconstruction of the potential and the nonlinearity in the multidimensional case, Proc. Amer. Math. Soc., 129, 3637, 10.1090/S0002-9939-01-06016-6
Weder, 2005, Scattering for the forced non-linear Schrödinger equation with a potential on the half-line, Math. Methods Appl. Sci., 28, 1219, 10.1002/mma.636
Weder, 2005, The forced non-linear Schrödinger equation with a potential on the half-line, Math. Methods Appl. Sci., 28, 1237, 10.1002/mma.637