Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation

DOI10.1063/1.5004668zbMath1386.35229arXiv1701.04002OpenAlexW2579011133MaRDI QIDQ4592897

Baiyu Liu, Xiaoliang Li

Publication date: 9 November 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04002

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Statistical mechanics of magnetic materials (82D40) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)

Related Items (15)

Blow-Up Phenomena for Some Pseudo-Parabolic Equations with Nonlocal Term ⋮ On potential wells to a semilinear hyperbolic equation with damping and conical singularity ⋮ Finite time blow-up and global existence for the nonlocal complex Ginzburg-Landau equation ⋮ Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation ⋮ Finite time blow-up and global solutions for a nonlocal parabolic equation with Hartree type nonlinearity ⋮ 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 ⋮ Global existence and blow-up of solutions to a class of nonlocal parabolic equations ⋮ Blow-up and global existence of solutions to a parabolic equation associated with the fraction \(p\)-Laplacian ⋮ Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential ⋮ Blow-up phenomena for a class of parabolic or pseudo-parabolic equation with nonlocal source ⋮ Analysis of a pseudo-parabolic equation by potential wells ⋮ Lifespan, asymptotic behavior and ground-state solutions to a nonlocal parabolic equation ⋮ Global existence and non-existence analyses to a nonlinear Klein-Gordon system with damping terms under positive initial energy ⋮ Unnamed Item

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