Global existence of smooth solutions to the initial-boundary value problem for the quasi-linear wave equation with a localized degenerate dissipation

DOI10.1016/S0362-546X(98)00179-5zbMath0934.35096OpenAlexW2030968464MaRDI QIDQ1817984

Mitsuhiro Nakao

Publication date: 2 April 2000

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(98)00179-5

zbMATH Keywords

unique continuationhomogeneous Dirichlet boundary conditionspower decay

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Second-order nonlinear hyperbolic equations (35L70) Continuation and prolongation of solutions to PDEs (35B60)

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