The critical exponent for a time fractional diffusion equation with nonlinear memory

DOI10.1002/MMA.5169zbMath1403.35320OpenAlexW2883910931MaRDI QIDQ4557093

Ya-Ning Li, Quan-Guo Zhang

Publication date: 29 November 2018

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.5169

zbMATH Keywords

blow-upglobal existencetime fractional diffusion equationnonlinear memoryFujita critical exponent

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

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Blow-up result for a semilinear wave equation with a nonlinear memory term ⋮ On the blow-up of solutions for a fractional diffusion equation with nonlinear memory and reaction terms in a bounded domain ⋮ The critical exponents for a time fractional diffusion equation with nonlinear memory in a bounded domain ⋮ Finite time blow-up for a nonlocal in time nonlinear heat equation in an exterior domain ⋮ Blow-up solutions of a time-fractional diffusion equation with variable exponents ⋮ Blow-up and global existence of solutions for a time fractional diffusion equation

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