Classical solutions to quasilinear parabolic problems with dynamic boundary conditions

DOI10.3934/DCDSS.2016024zbMath1346.35099arXiv1504.06112OpenAlexW2963897413MaRDI QIDQ317051

Davide Guidetti

Publication date: 30 September 2016

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06112

zbMATH Keywords

nonlinear boundary conditionsHölder continuous functionsdynamic boundary conditionsnonlinear mixed parabolic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Parabolic problems with general Wentzell boundary conditions and diffusion on the boundary ⋮ Time-fractional diffusion equation with dynamical boundary condition

Cites Work

• Unnamed Item
• Well posedness and the global attractor of some quasi-linear parabolic equations with nonlinear dynamic boundary conditions.
• Well-posedness of nonlinear parabolic problems with nonlinear Wentzell boundary conditions
• The Robin and Wentzell-Robin Laplacians on Lipschitz domains
• Stability of parabolic problems with nonlinear Wentzell boundary conditions
• Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions
• Quasilinear parabolic systems with dynamical boundary conditions
• Evolution equations with dynamic boundary conditions
• Nonlinear boundary conditions for nonlinear second order differential operators on \(C[0,1\)]
• Linear parabolic problems with dynamic boundary conditions in spaces of Hölder continuous functions

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