Invariant sets and the blow up threshold for a nonlocal equation of parabolic type

DOI10.1016/j.na.2014.08.004zbMath1302.35072OpenAlexW2005848402MaRDI QIDQ743864

Baiyu Liu, Li Ma

Publication date: 1 October 2014

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.2014.08.004

zbMATH Keywords

Dirichlet boundary conditionpotential well methodBanach fixed point theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)

Related Items (15)

Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term ⋮ Sharp threshold for blow-up and global existence in a semilinear parabolic equation with variable source ⋮ 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 ⋮ Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation ⋮ Initial boundary value problem for a class of wave equations of Hartree type ⋮ Blow-up and lifespan of solutions to a nonlocal parabolic equation at arbitrary initial energy level ⋮ Monotonicity and symmetry of fractional Lane–Emden-type equation in the parabolic domain ⋮ Global existence and blow-up of solutions to a class of nonlocal parabolic equations ⋮ Ground states of a nonlinear drifting Schrödinger equation ⋮ Blow-up phenomena for a class of parabolic or pseudo-parabolic equation with nonlocal source ⋮ Liouville theorems and classification results for a nonlocal Schrödinger equation ⋮ Blow up threshold for a parabolic type equation involving space integral and variational structure ⋮ Lifespan, asymptotic behavior and ground-state solutions to a nonlocal parabolic equation

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