Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs

DOI10.1016/j.jde.2015.07.029zbMath1343.35023arXiv1411.5562OpenAlexW1522296695MaRDI QIDQ496744

Lutz Recke, I. Ya. Kmit'

Publication date: 22 September 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.5562

zbMATH Keywords

boundary value problemstime-periodic solutionsgeneralized implicit function theoremnonlinear first-order and second-order hyperbolic PDEsone space variable

Mathematics Subject Classification ID

Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) First-order nonlinear hyperbolic equations (35L60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Initial-boundary value problems for first-order hyperbolic systems (35L50) Abstract inverse mapping and implicit function theorems involving nonlinear operators (47J07) Second-order semilinear hyperbolic equations (35L71)

Related Items

Hopf bifurcation for general 1D semilinear wave equations with delay, Fredholm solvability of time-periodic boundary value hyperbolic problems, Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip, Regularity of time-periodic solutions to autonomous semilinear hyperbolic PDEs, Solution regularity and smooth dependence for abstract equations and applications to hyperbolic PDEs

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