Well-posedness and finite-time singularity of solutions in a 4th-order parabolic equation

DOI10.3934/CPAA.2024022MaRDI QIDQ6500008

Min Zhang, Bingchen Liu, Mengqi Zhou

Publication date: 10 May 2024

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

blow-upasymptotic estimateextinctionglobal existence4th-order parabolic PDE

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order parabolic equations (35K25) Blow-up in context of PDEs (35B44)

Cites Work

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• Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions
• Some Additional Remarks on the Nonexistence of Global Solutions to Nonlinear Wave Equations
• Classification of singular solutions in a nonlinear fourth-order parabolic equation

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