Inverse problem for a nonlinear Helmholtz equation

DOI10.1016/j.anihpc.2003.07.001zbMath1062.35173OpenAlexW1993359064MaRDI QIDQ1888398

Emmanuel Jalade

Publication date: 23 November 2004

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2004__21_4_517_0

zbMATH Keywords

Fourier transformperturbationuniquenessnonlinear Schrödinger equationlinear Helmholtz equationscattering operator, scattering amplitude

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Inverse problems for PDEs (35R30)

Related Items

Existence and asymptotic behavior of standing waves of the nonlinear Helmholtz equation in the plane, Inverse medium scattering for a nonlinear Helmholtz equation, The domain derivative for semilinear elliptic inverse obstacle problems, The direct and inverse scattering problem for the semilinear Schrödinger equation, A radiation and propagation problem for a Helmholtz equation with a compactly supported nonlinearity, A dual approach in Orlicz spaces for the nonlinear Helmholtz equation, On isolated singular solutions of semilinear Helmholtz equation, Inverse scattering problem for time dependent Hartree-Fock equations in the three-body case, Exponential inequalities in linear calibration problem, Complex Solutions and Stationary Scattering for the Nonlinear Helmholtz Equation

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