Global existence and blow-up results for a classical semilinear parabolic equation

DOI10.1007/s11401-013-0778-8zbMath1282.35095OpenAlexW2032987394MaRDI QIDQ382095

Li Ma

Publication date: 18 November 2013

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-013-0778-8

zbMATH Keywords

omega limit

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Positive solutions to PDEs (35B09)

Related Items (9)

Finite time blow-up and global existence for the nonlocal complex Ginzburg-Landau equation ⋮ Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity ⋮ Finite time blowup and global solutions of Euler type equations in matrix geometry ⋮ Global solutions and ground states of a nonlinear Schrödinger equation in matrix geometry ⋮ Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation ⋮ Ground states of a nonlinear drifting Schrödinger equation ⋮ Invariant sets and the blow up threshold for a nonlocal equation of parabolic type ⋮ Blow up threshold for a parabolic type equation involving space integral and variational structure ⋮ Invariant sets and the blow up threshold for coupled systems of reaction–diffusion

Cites Work

• Unnamed Item
• Unnamed Item
• Transversality of stable and Nehari manifolds for a semilinear heat equation
• Solitary waves in the nolinear wave equation and in gauge theories
• Sign-changing stationary solutions and blowup for the nonlinear heat equation in a ball
• Mountain pass on a closed convex set
• Methods in Nonlinear Analysis

This page was built for publication: Global existence and blow-up results for a classical semilinear parabolic equation