Invariance of a closed convex set under a semigroup associated with a nonlinear form

DOI10.1155/S1085337596000127zbMath0945.47041OpenAlexW2077465376MaRDI QIDQ1809772

Louise Barthélémy

Publication date: 4 October 2000

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48528

zbMATH Keywords

invariancesemigroupHilbert spaceconvex setmaximal monotonicitynonlinear formsemigroup invariance

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) One-parameter semigroups and linear evolution equations (47D06)

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Quasilinear parabolic equations with nonlinear Wentzell-Robin type boundary conditions ⋮ The Laplace operator on the Sierpinski gasket with Robin boundary conditions ⋮ Parabolic theory of the discrete \(p\)-Laplace operator ⋮ Interpolation of nonlinear positive or order preserving operators on Banach lattices ⋮ Energy spaces, Dirichlet forms and capacities in a nonlinear setting ⋮ Domination of semigroups on standard forms of von Neumann algebras ⋮ The normal contraction property for non-bilinear Dirichlet forms ⋮ The \(p\)-Laplace operator with the nonlocal Robin boundary conditions on arbitrary open sets ⋮ Time regularity and long-time behavior of parabolic \(p\)-Laplace equations on infinite graphs ⋮ Nonlinear semigroups generated by \(j\)-elliptic functionals ⋮ Nonlinear maximal monotone extensions of symmetric operators ⋮ Parabolic systems with coupled boundary conditions ⋮ The heat equation with nonlinear generalized Robin boundary conditions

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