Blow-up solutions for a class of nonlinear parabolic equations with Dirichlet boundary conditions

DOI10.1016/S0362-546X(02)00277-8zbMath1032.35095OpenAlexW2041690063MaRDI QIDQ1863627

Juntang Ding

Publication date: 11 March 2003

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/s0362-546x(02)00277-8

zbMATH Keywords

maximum principleblow-up timeupper bound of blow-up time

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (10)

Blow-up solutions, global existence, and exponential decay estimates for second order parabolic problems ⋮ Global existence and blowup solutions for quasilinear parabolic equations ⋮ On the lagged diffusivity method for the solution of nonlinear finite difference systems ⋮ Global existence and blow-up solutions for quasilinear reaction-diffusion equations with a gradient term ⋮ Blow-up phenomena for a parabolic system with gradient nonlinearity under nonlinear boundary conditions ⋮ Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions ⋮ The asymptotic self-similar behavior for the quasilinear heat equation with nonlinear boundary condition ⋮ Blow-up and global solutions for a class of nonlinear parabolic equations with different kinds of boundary conditions ⋮ Boundedness and blowup for nonlinear degenerate parabolic equations ⋮ Blow-up analysis for parabolic \(p\)-Laplacian equations with a gradient source term

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