On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux

DOI10.1017/S0013091505001537zbMath1172.35007OpenAlexW2163482207MaRDI QIDQ3533813

Jun Zhou, Chun-Lai Mu

Publication date: 24 October 2008

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091505001537

zbMATH Keywords

blow-up ratecompactly supported initial datanon-negative solutions

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Critical exponents in context of PDEs (35B33) Degenerate parabolic equations (35K65)

Related Items (11)

GLOBAL EXISTENCE AND BLOW-UP FOR A DOUBLY DEGENERATE PARABOLIC EQUATION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS ⋮ Critical curves and non-extinction conditions for a 2-dimensional non-Newtonian polytropic filtration equations coupled via nonlinear boundary flux ⋮ GLOBAL EXISTENCE AND BLOW-UP FOR NON-NEWTON POLYTROPIC FILTRATION SYSTEM COUPLED WITH LOCAL SOURCE ⋮ Blow-up for an evolution \(p\)-Laplace system with nonlocal sources and inner absorptions ⋮ A quasilinear parabolic system with nonlocal boundary condition ⋮ A nonlinear diffusion system coupled via nonlinear boundary flux ⋮ Critical Fujita exponent for the porous medium equation in \(\mathbb{R}^N\) with hole ⋮ The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux ⋮ GLOBAL EXISTENCE AND BLOW-UP FOR A NON-NEWTON POLYTROPIC FILTRATION SYSTEM WITH NONLOCAL SOURCE ⋮ Global existence and nonexistence of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions ⋮ A degenerate parabolic system with nonlocal boundary condition

This page was built for publication: On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux