Exponential stability of classical solutions to a class of semilinear wave equations with boundary dissipation

DOI10.1016/S0362-546X(97)00624-XzbMath0920.35089MaRDI QIDQ4238409

Yuming Shi

Publication date: 30 March 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

small initial datacharacteristic method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Periodic solutions to PDEs (35B10) Second-order nonlinear hyperbolic equations (35L70)

Related Items (1)

Almost periodic solution of a class of semilinear wave equations with boundary dissipation

Cites Work

• The effect of boundary damping for the quasilinear wave equation
• The global smooth solutions of second order quasilinear hyperbolic equations with dissipative boundary conditions
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations
• Periodic solutions of nonlinear hyperbolic partial differential equations. II
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