Sharp criteria of global existence and blow-up for a type of nonlinear parabolic equations

DOI10.1016/j.aml.2013.05.008OpenAlexW2066709581MaRDI QIDQ2339275

Yongle Zhang, Yi Jiang

Publication date: 31 March 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2013.05.008

zbMATH Keywords

nonlinear parabolic equationglobal existenceblow upvariational characterizationinvariant flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) NLS equations (nonlinear Schrödinger equations) (35Q55)

Cites Work

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• Existence and non-existence of global solutions for a semilinear heat equation
• On the growing problem for semilinear heat equations
• Global solutions, asymptotic behavior and blow-up problems for semilinear heat equations
• Existence and nonexistence of global solutions for nonlinear parabolic equations
• Sharp Threshold for Blowup and Global Existence in Nonlinear Schrödinger Equations Under a Harmonic Potential
• Sharp conditions of global existence for nonlinear Schrödinger and Klein-Gordon equations.

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