A test function method for evolution equations with fractional powers of the Laplace operator

DOI10.1016/j.na.2020.112114zbMath1450.35264arXiv2005.12056OpenAlexW3081719328MaRDI QIDQ2208221

Yanyan Li

Publication date: 23 October 2020

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/2005.12056

zbMATH Keywords

nonlinear evolution equationsfractional Laplacianglobal-in-time solutionsoptimality of the nonexistence result

Mathematics Subject Classification ID

Critical exponents in context of PDEs (35B33) Initial value problems for second-order hyperbolic equations (35L15) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11) Second-order semilinear hyperbolic equations (35L71)

Related Items (9)

Higher order evolution inequalities with nonlinear convolution terms ⋮ Note on the lifespan estimate of solutions for non-gauge invariant semilinear massless semirelativistic equations with some scaling critical nonlinearity ⋮ The interplay between fractional damping and nonlinear memory for the plate equation ⋮ Decay estimates for a perturbed two-terms space-time fractional diffusive problem ⋮ The move from Fujita type exponent to a shift of it for a class of semilinear evolution equations with time-dependent damping ⋮ Unnamed Item ⋮ The critical exponent for semilinear \(\sigma \)-evolution equations with a strong non-effective damping ⋮ Lifespan estimates of 1D non-gauge invariant semilinear semirelativistic equations ⋮ Global small data solutions for semilinear waves with two dissipative terms

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