Maximal \(L^2\)-regularity in nonlinear gradient systems and perturbations of sublinear growth

DOI10.2140/paa.2020.2.23zbMath1430.35149arXiv1903.05733OpenAlexW2920930092MaRDI QIDQ2289357

Daniel Hauer, Wolfgang Arendt

Publication date: 28 January 2020

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

Full work available at URL: https://arxiv.org/abs/1903.05733

zbMATH Keywords

existenceperturbationsubdifferentialnonlinear semigroupssmoothing effectSchaefer's fixed point theoremcompact sublevel sets

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Semilinear parabolic equations (35K58) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Related Items (2)

A pathwise regularization by noise phenomenon for the evolutionary \(p\)-Laplace equation ⋮ The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems

Cites Work

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• Global existence for quasilinear diffusion equations in isotropic nondivergence form
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• Nonlinear semigroups generated by \(j\)-elliptic functionals

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