Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level

DOI10.1016/j.nonrwa.2011.07.025zbMath1238.35047OpenAlexW2023045981MaRDI QIDQ420031

Xiuying Cao, Tao Yu, Run-Zhang Xu

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.07.025

zbMATH Keywords

blow-upsemilinear parabolic equationglobal existencehigh energy

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51)

Related Items

Blow-up solutions, global existence, and exponential decay estimates for second order parabolic problems, Exponential growth of solution of a strongly nonlinear generalized Boussinesq equation, The fundamental solution and blow-up problem of an anisotropic parabolic equation, Global existence and nonexistence of solutions for quasilinear parabolic equation, Blow-up of solutions for a class of nonlinear pseudoparabolic equations with a memory term, FINITE TIME BLOW-UP AND GLOBAL EXISTENCE OF WEAK SOLUTIONS FOR PSEUDO-PARABOLIC EQUATION WITH EXPONENTIAL NONLINEARITY, A new blow-up condition for a parabolic equation with singular potential, Global well-posedness, asymptotic behavior and blow-up of solutions for a class of degenerate parabolic equations

Cites Work

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