The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping
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Publication:2057929
DOI10.1016/j.na.2021.112637zbMath1481.35040arXiv2005.10946OpenAlexW3208200018MaRDI QIDQ2057929
Marcelo Rempel Ebert, Marcello D'Abbicco
Publication date: 7 December 2021
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10946
critical exponent\(L^p-L^q\) estimatessemilinear evolution equationsnoneffective dampingsmall data Sobolev solutions
Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)
Related Items (7)
Higher order evolution inequalities with nonlinear convolution terms ⋮ Semilinear \(\sigma\)-evolution models with friction and visco-elastic type damping ⋮ The interplay between fractional damping and nonlinear memory for the plate equation ⋮ A general decay result for the Cauchy problem of a fractional Laplace viscoelastic equation ⋮ The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping ⋮ Semilinear evolution models with scale-invariant friction and visco-elastic damping ⋮ Unnamed Item
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