Regularizing effects of homogeneous evolution equations: the case of homogeneity order zero

DOI10.1007/S00028-019-00502-YOpenAlexW2923696037WikidataQ128137561 ScholiaQ128137561MaRDI QIDQ2285552

Daniel Hauer, José M. Mazón Ruiz

Publication date: 8 January 2020

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

Full work available at URL: https://arxiv.org/abs/1901.08691

zbMATH Keywords

regularitynonlinear semigroups1-Laplace operatorlocal and nonlocal operatorshomogenous operators

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Nonlinear evolution equations (47J35)

Related Items (7)

On the \(p\)-Laplacian evolution equation in metric measure spaces ⋮ The existence of solutions for parabolic problem with the limiting case of double phase flux ⋮ Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type ⋮ The Neumann and Dirichlet problems for the total variation flow in metric measure spaces ⋮ Decay Estimates in Time for Classical and Anomalous Diffusion ⋮ Regularizing effect of homogeneous evolution equations with perturbation ⋮ The Dirichlet-to-Neumann operator associated with the 1-Laplacian and evolution problems

Cites Work

• Fractional \(p\)-Laplacian evolution equations
• Semigroups of linear operators and applications to partial differential equations
• Parabolic quasilinear equations minimizing linear growth functionals
• Minimizing total variation flow
• Vector-valued Laplace Transforms and Cauchy Problems
• Nonlinear Differential Equations of Monotone Types in Banach Spaces
• The Dirichlet problem for the total variation flow
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