Diffusion phenomena for the wave equation with space-dependent damping term growing at infinity

zbMath1391.35262arXiv1704.07650MaRDI QIDQ1640555

Motohiro Sobajima, Yuta Wakasugi

Publication date: 14 June 2018

Published in: Advances in Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1704.07650

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order hyperbolic equations (35L20) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (5)

Asymptotic expansion of solutions to the wave equation with space-dependent damping ⋮ Decay property of solutions to the wave equation with space‐dependent damping, absorbing nonlinearity, and polynomially decaying data ⋮ Critical exponent for the semilinear wave equations with a damping increasing in the far field ⋮ Supersolutions for parabolic equations with unbounded or degenerate diffusion coefficients and their applications to some classes of parabolic and hyperbolic equations ⋮ Remark on the blow-up of solutions for the semilinear wave equation with overdamping term

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