Ill-posedness of nonlinear parabolic equation with critical initial condition

DOI10.1016/j.matcom.2010.09.009zbMath1248.35230OpenAlexW1485451075MaRDI QIDQ446057

Ya-Cheng Liu, Run-Zhang Xu

Publication date: 28 August 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.09.009

zbMATH Keywords

nonlinear parabolic equationglobal nonexistencepotential wellscritical initial data

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Ill-posed problems for PDEs (35R25) Existence problems for PDEs: global existence, local existence, non-existence (35A01)

Related Items (1)

Global well-posedness for nonlinear fourth-order Schrödinger equations

Cites Work

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• Asymptotic stability and blowing up of solutions of some nonlinear equations
• On potential wells and vacuum isolating of solutions for semilinear wave equations
• Nonlinear parabolic equations with critical initial conditions \(J(u_0)=d\) or \(I(u_0)=0\)
• Existence and nonexistence of global solutions for nonlinear parabolic equations
• Global solutions for some nonlinear parabolic equations with nonmonotonic perturbations
• L∞-estimates of solutions of some nonlinear degenerate parabolic equations

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