Global solvability for the quasilinear damped wave equation with nonlinear second-order boundary conditions

DOI10.1016/S0362-546X(01)00804-5zbMath1002.35090OpenAlexW2033094314MaRDI QIDQ1612626

Gleb G. Doronin, Nickolai A. Larkin

Publication date: 25 August 2002

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(01)00804-5

zbMATH Keywords

stabilityinitial-boundary value problemuniquenessstrong solutionFaedo-Galerkin method

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)

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Cites Work

• The effect of boundary damping for the quasilinear wave equation
• Global solvability of boundary-value problems for a class of quasilinear hyperbolic equations
• Global existence and asymptotics of the solutions of the second-order quasilinear hyperbolic equations with the first-order dissipation
• CONVERGENCE OF SOLUTIONS OF THE WAVE EQUATION WITH A NONLINEAR DISSIPATIVE TERM TO THE STEADY STATE
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