Asymptotic profiles to the solutions for a nonlinear damped wave equation.
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Publication:2249867
zbMath1299.35209MaRDI QIDQ2249867
Yoshihiro Ueda, Tatsuki Kawakami
Publication date: 3 July 2014
Published in: Differential and Integral Equations (Search for Journal in Brave)
fundamental solutionasymptotic estimatenonlinear heat equationnonlinear damped wave equation\(L^p\)-\(L^q\)-type decomposition
Asymptotic behavior of solutions to PDEs (35B40) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
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Scaling variables and asymptotic profiles for the semilinear damped wave equation with variable coefficients ⋮ Critical exponent for nonlinear wave equations with frictional and viscoelastic damping terms ⋮ The Cauchy problem for the nonlinear damped wave equation with slowly decaying data ⋮ Weighted estimates and large time behavior of small amplitude solutions to the semilinear heat equation ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Unconditional small data global well-posedness for nonlinear beam equations with weak damping ⋮ Large time behavior of solutions for a nonlinear damped wave equation ⋮ Large time behavior of global solutions of the semilinear damped beam equation with slowly decaying data ⋮ Higher order asymptotic expansions to the solutions for a nonlinear damped wave equation ⋮ Asymptotic profiles for wave equations with strong damping ⋮ Large time behavior of global solutions to nonlinear wave equations with frictional and viscoelastic damping terms ⋮ Global existence of solutions for a weakly coupled system of semilinear damped wave equations
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