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The exponential decay of a system of nonlinear wave equations

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Publication:990802
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DOI10.1016/j.aml.2010.06.009zbMath1198.35037OpenAlexW2046659555MaRDI QIDQ990802

Xiao Wei, Chen Lin

Publication date: 1 September 2010

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2010.06.009


zbMATH Keywords

energy estimatesexponential decayinitial boundary value problemnonlinear wave equationscompactness uniqueness argument


Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Second-order semilinear hyperbolic equations (35L71) Initial-boundary value problems for second-order hyperbolic systems (35L53)




Cites Work

  • Unnamed Item
  • Exact controllability in short time for the wave equation
  • Asymptotic behavior of solutions of quasilinear hyperbolic equations with linear damping
  • Existence and nonexistence of global solutions of some system of semilinear wave equations
  • Long-time asymptotic expansion for the damped semilinear wave equation.
  • Boundary Stabilization of Linear Elastodynamic Systems
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