Smoothing solutions to initial-boundary problems for first-order hyperbolic systems

DOI10.1080/00036811.2011.559462zbMath1228.35077arXiv0908.2189OpenAlexW2062863079WikidataQ58271669 ScholiaQ58271669MaRDI QIDQ3096902

I. Ya. Kmit'

Publication date: 15 November 2011

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.2189

zbMATH Keywords

delta wave solutionslocal or nonlocal nonlinear boundary conditions

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) 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) Weak solutions to PDEs (35D30)

Related Items (6)

Fredholm solvability of time-periodic boundary value hyperbolic problems ⋮ Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems ⋮ Classical bounded and almost periodic solutions to quasilinear first-order hyperbolic systems in a strip ⋮ Fredholm solvability of a periodic Neumann problem for a linear telegraph equation ⋮ Perturbations of superstable linear hyperbolic systems ⋮ Finite Time Stabilization of Nonautonomous First-Order Hyperbolic Systems

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• Well‐posedness, smooth dependence and centre manifold reduction for a semilinear hyperbolic system from laser dynamics

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