Blow up of nonautonomous fractional reaction-diffusion systems

DOI10.7153/FDC-2020-10-01zbMath1488.35572OpenAlexW3043440802MaRDI QIDQ5014721

Aroldo Pérez

Publication date: 8 December 2021

Published in: Fractional Differential Calculus (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/fdc-2020-10-01

zbMATH Keywords

mild solutionfractional Laplacianfinite time blow upnon-linear reaction-diffusion systems

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Integral representations of solutions to PDEs (35C15) Initial value problems for second-order parabolic systems (35K45) Initial value problems for PDEs with pseudodifferential operators (35S10) Blow-up in context of PDEs (35B44) Fractional partial differential equations (35R11)

Cites Work

• Boundedness and blow up for a semilinear reaction-diffusion system
• On nonexistence of global solutions for some nonlinear integral equations
• Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems
• Blow up of fractional reaction-diffusion systems with and without convection terms
• Superdiffusive blow-up with advection
• Mathematical problems from combustion theory
• The preventive effect of the convection and of the diffusion in the blow-up phenomenon for parabolic equations
• Blow-up in quasilinear parabolic equations. Transl. from the Russian by Michael Grinfeld
• The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations
• Blow-up solutions to the Cauchy problem of a fractional reaction-diffusion system
• Estimates of heat kernel of fractional Laplacian perturbed by gradient operators
• Qualitative properties of solutions to a time-space fractional evolution equation
• Local time and Tanaka formula for a multitype Dawson–Watanabe superprocess
• Blow up of mild solutions of a system of partial differential equations with distinct fractional diffusions
• Criticality for some evolution equations
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