LpEstimates for Maxwell's Equations with Source Term

DOI10.1080/03605300701249630zbMath1126.35071OpenAlexW2064245777MaRDI QIDQ5421526

Gang Bao, Aurelia Minut, Zhengfang Zhou

Publication date: 24 October 2007

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605300701249630

zbMATH Keywords

nonlinear opticsnonlocal boundary conditionboundary estimategratingsjump conditionsecond harmonic generationcurl-div decompositionnonlinear diffractive optics

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with optics and electromagnetic theory (35Q60) Lasers, masers, optical bistability, nonlinear optics (78A60) Quasielliptic equations (35H30)

Related Items

An \(H^{s,p}(\mathrm{curl};\Omega)\) estimate for the Maxwell system, The forward and inverse problems for the scattering of obliquely incident electromagnetic waves in a chiral medium, \(L^p\) estimates of time-harmonic Maxwell's equations in a bounded domain, On the direct and inverse electromagnetic scattering by chiral media

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