Global well-posedness and blow-up solutions of the Cauchy problem for a time-fractional superdiffusion equation

DOI10.1007/s00028-018-0475-xzbMath1414.35260OpenAlexW2895965383MaRDI QIDQ2419922

Ya-Ning Li, Quan-Guo Zhang

Publication date: 4 June 2019

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-018-0475-x

zbMATH Keywords

Cauchy problemblow-upglobal existencetime-fractional superdiffusion equation

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)

Related Items (8)

Local and global existence of solutions to a time-fractional wave equation with an exponential growth ⋮ Local/global existence analysis of fractional wave equations with exponential nonlinearity ⋮ Approximation of solutions to integro-differential time fractional wave equations in \(L^p\)-space ⋮ Nonexistence of global solutions for time fractional wave equations in an exterior domain ⋮ Fractional evolution equations with nonlocal initial conditions and superlinear growth nonlinear terms ⋮ The well-posedness for semilinear time fractional wave equations on \(\mathbb{R}^N\) ⋮ A Cauchy problem for fractional evolution equations with Hilfer's fractional derivative on semi-infinite interval ⋮ Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders

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