A fourth‐order parabolic equation in two space dimensions

DOI10.1002/MMA.878zbMath1128.35049OpenAlexW1966539329MaRDI QIDQ5433214

Chein-Shan Liu

Publication date: 8 January 2008

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.878

zbMATH Keywords

Campanato spaceglobal existence of classical solutionsSchauder type estimates\(L^p\)-type estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20)

Related Items (3)

Existence of solutions for a nonlocal epitaxial thin film growing equation ⋮ Amplitude equations for SPDEs with cubic nonlinearities ⋮ On the well-posedness of a nonlinear fourth-order extension of Richards' equation

Cites Work

• A generalized diffusion model for growth and dispersal in a population

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