Direct and inverse problems for the nonlinear time-harmonic Maxwell equations in Kerr-type media

DOI10.4171/JST/334zbMath1475.35330arXiv1709.07767OpenAlexW3116196812MaRDI QIDQ2043652

Ting Zhou, Yernat M. Assylbekov

Publication date: 3 August 2021

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.07767

zbMATH Keywords

inverse problemsnonlinear Maxwell's equationsKerr-type media

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Lasers, masers, optical bistability, nonlinear optics (78A60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on manifolds (35R01)

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