Global solution and blow-up for a class of \(p\)-Laplacian evolution equations with logarithmic nonlinearity

DOI10.1007/s10440-017-0106-5zbMath1373.35008OpenAlexW2621673766MaRDI QIDQ2412753

Xuan Truong Le, Cong Nhan Le

Publication date: 27 October 2017

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-017-0106-5

zbMATH Keywords

asymptotic behaviorblow-upglobal existencelogarithmic source term

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44)

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Cites Work

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• Existence and nonexistence of global solutions for nonlinear parabolic equations
• Asymptotic behavior of blowup solutions of a parabolic equation with the \(p\)-Laplacian
• A new method to obtain decay rate estimates for dissipative systems
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