Asymptotic estimate of weak solutions in a fourth-order parabolic equation with logarithm

DOI10.1063/5.0088490OpenAlexW4318067595MaRDI QIDQ5886480

Fengjie Li, Ke Li, Bingchen Liu

Publication date: 5 April 2023

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

Full work available at URL: https://doi.org/10.1063/5.0088490

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Cites Work

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• A continuum model of kinetic roughening and coarsening in thin films
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• Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth
• Classification of blow-up and global existence of solutions to an initial Neumann problem
• Global asymptotical behavior of solutions to a class of fourth order parabolic equation modeling epitaxial growth
• The existence of global attractor for a fourth-order parabolic equation
• Stochastic Differential Equations with Markovian Switching

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