Global blow-up for a localized nonlinear parabolic equation with a nonlocal boundary condition

DOI10.1016/j.jmaa.2011.05.079zbMath1227.35090OpenAlexW2049799263MaRDI QIDQ719577

Lihua Liu, Youpeng Chen

Publication date: 10 October 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.05.079

zbMATH Keywords

blow-up ratelocalized reaction source

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)

Related Items (7)

Blow up problems for a degenerate parabolic equation with nonlocal source and nonlocal nonlinear boundary condition ⋮ Rigorous derivation of the Oberbeck-Boussinesq approximation revealing unexpected term ⋮ Numerical solution of two backward parabolic problems using method of fundamental solutions ⋮ Picard and weakly Picard operators technique for nonlinear differential equations in Banach spaces ⋮ Blow-up and global existence for a quasilinear parabolic system ⋮ Global blow-up for a localized quasilinear parabolic system with nonlocal boundary conditions ⋮ Blow-up for a parabolic system with nonlocal sources and nonlocal boundary conditions

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