Blow-up, global existence and exponential decay estimates for a class of quasilinear parabolic problems

DOI10.1016/j.na.2007.08.063zbMath1158.35375OpenAlexW1990112430MaRDI QIDQ949713

Cristian Enache

Publication date: 21 October 2008

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.2007.08.063

zbMATH Keywords

blow-upglobal existencedivergence formdecay boundsdecay bounds for the solution and its derivatives

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) A priori estimates in context of PDEs (35B45)

Related Items (12)

Global and blow-up solutions for a nonlinear reaction diffusion equation with Robin boundary conditions ⋮ Blow-up solutions, global existence, and exponential decay estimates for second order parabolic problems ⋮ Global and blow-up solutions for nonlinear parabolic equations with Robin boundary conditions ⋮ Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions ⋮ Blow-up phenomena for a class of quasilinear parabolic problems under Robin boundary condition ⋮ Blow-up solutions for nonlinear reaction diffusion equations under Neumann boundary conditions ⋮ Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions ⋮ Blow-up solutions and global existence for quasilinear parabolic problems with Robin boundary conditions ⋮ Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions ⋮ Upper and lower bounds for the blow-up time in quasilinear reaction diffusion problems ⋮ Blow-up phenomena for a class of nonlinear reaction-diffusion equations under nonlinear boundary conditions ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system

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