The heat equation with nonlinear generalized Robin boundary conditions

DOI10.1016/j.jde.2009.07.017zbMath1180.35299OpenAlexW2091006523MaRDI QIDQ1032861

Mahamadi Warma, Markus Biegert

Publication date: 5 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.017

zbMATH Keywords

Robin boundary conditionsUltracontractivityNonlinear semigroupsSubdifferentialsSubmarkovian semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Heat equation (35K05)

Related Items (13)

A class of quasi-linear parabolic and elliptic equations with nonlocal Robin boundary conditions ⋮ Solving an inverse initial-boundary-value problem using basis function method ⋮ Quasilinear elliptic and parabolic Robin problems on Lipschitz domains ⋮ General decay and blow-up results of a Robin-Dirichlet problem for a pseudoparabolic nonlinear equation of Kirchhoff-Carrier type with viscoelastic term ⋮ Existence of solutions for quasilinear problem with Neumann boundary conditions ⋮ The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets ⋮ Solvability of linear local and nonlocal Robin problems over \(C (\overline {\varOmega})\) ⋮ Regularity and well-posedness of some quasi-linear elliptic and parabolic problems with nonlinear general Wentzell boundary conditions on nonsmooth domains ⋮ Long-term behavior of reaction-diffusion equations with nonlocal boundary conditions on rough domains ⋮ The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets ⋮ Unnamed Item ⋮ Existence of solutions to quasi-linear elliptic problems with generalized Robin boundary conditions ⋮ Nonlinear elliptic boundary value problems at resonance with nonlinear Wentzell boundary conditions

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