Almost global existence in the plane wave-nonlinear dielectric interaction problem

DOI10.1016/0898-1221(88)90276-3zbMath0672.35043OpenAlexW2084501084MaRDI QIDQ1120070

Frederick Bloom

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90276-3

zbMATH Keywords

plane waveelectromagnetic fieldinitial-value problemsmall initial datatime evolutionalmost global existencequasilinear hyperbolic systemnonlinear dielectric

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Electromagnetic theory (general) (78A25) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (2)

Global existence and asymptotic stability of solutions to the Cauchy problem for wave propagation in nonlinear dielectric media ⋮ Long time existence of solutions for \({\partial{} ^ 2 \over{} \partial{} T^ 2} u(x,t) + {\partial{} \over{} \partial{} T} \alpha{} (u(x,t)) = {\partial{} ^ 2 \over{} \partial{} X^ 2} \beta{} (u(x,t))\)

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