Properties of non-simultaneous blow-up solutions in nonlocal parabolic equations

DOI10.1016/J.NA.2009.07.046zbMath1182.35053OpenAlexW2001357409MaRDI QIDQ1049067

Bingchen Liu, Fengjie Li

Publication date: 8 January 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.07.046

zbMATH Keywords

blow-up ratesimultaneous blow-uphomogeneous Dirichlet conditionssingle point blow-uptotal blow-up

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Critical exponents in context of PDEs (35B33) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (13)

Asymptotic results and critical Fujita exponent in parabolic equations with nonlocal nonlinearity ⋮ The profile and boundary layer for parabolic system with critical simultaneous blow-up exponent ⋮ Life span of solutions with large initial data for a class of coupled parabolic systems ⋮ Estimates for the blowup time of a combustion model with nonlocal heat sources ⋮ Blow-up of solutions to a parabolic system with nonlocal source ⋮ Lower bounds for the blow-up time of a nonlocal reaction-diffusion system with time-dependent coefficients ⋮ Asymptotic estimates and Fujita exponents of blow-up solutions in weighted parabolic systems ⋮ Estimates on the blowup time for a quasilinear parabolic system ⋮ Blow-up estimate in a reaction-diffusion equation with nonlinear nonlocal flux and source ⋮ Bounds for the blowup time of the solution to a parabolic system with nonlocal factors in nonlinearities ⋮ Blow-up analysis in degenerate parabolic systems coupled via norm-type reactions ⋮ Blow-up analyses in reaction-diffusion equations with Fujita exponents ⋮ Time-weighted blow-up profiles in a nonlinear parabolic system with Fujita exponent

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