On the Cauchy problem for a class of semilinear second order evolution equations with fractional Laplacian and damping
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Publication:2240903
DOI10.1007/s00030-021-00723-6zbMath1476.35041arXiv2003.09239OpenAlexW3200512622MaRDI QIDQ2240903
Masahiro Ikeda, Yuta Wakasugi, Kazumasa Fujiwara
Publication date: 4 November 2021
Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.09239
asymptotic behaviorglobal existencepower nonlinearitydissipative termtime decay estimates in weighted Sobolev spaces
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Second-order semilinear hyperbolic equations (35L71)
Related Items (4)
On asymptotic properties of solutions to \(\sigma \)-evolution equations with general double damping ⋮ Wave equations with a damping term degenerating near low and high frequency regions ⋮ Double diffusion structure of logarithmically damped wave equations with a small parameter ⋮ Remark on the Chain rule of fractional derivative in the Sobolev framework
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