The normal contraction property for non-bilinear Dirichlet forms

DOI10.1007/s11118-022-10057-2arXiv2205.02928MaRDI QIDQ6147972

Ivailo Hartarsky, Giovanni Brigati

Publication date: 1 February 2024

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.02928

zbMATH Keywords

non-bilinear Dirichlet formnormal contraction property

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Dirichlet forms (31C25)

Cites Work

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• \(q\)-heat flow and the gradient flow of the Renyi entropy in the \(p\)-Wasserstein space
• Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces
• Bakry-Émery curvature-dimension condition and Riemannian Ricci curvature bounds
• Dirichlet forms and symmetric Markov processes.
• On the Bakry-Emery criterion for linear diffusions and weighted porous media equations
• Functional analysis, Sobolev spaces and partial differential equations
• Dirichlet forms and analysis on Wiener space
• Differentiability of Lipschitz functions on metric measure spaces
• An introduction to \(\Gamma\)-convergence
• Invariance of a closed convex set under a semigroup associated with a nonlinear form
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Sobolev and isoperimetric inequalities for Dirichlet forms on homogeneous spaces
• Anisotropic \(p\)-Laplacian evolution of fast diffusion type
• Contraction and regularizing properties of heat flows in metric measure spaces
• Fractional \((s,p)\)-Robin-Venttsel' problems on extension domains
• Non-local diffusion equations involving the fractional \(p(\cdot)\)-Laplacian
• Ricci curvature for metric-measure spaces via optimal transport
• Semigroup methods for evolution equations on networks
• Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below
• Metric measure spaces with Riemannian Ricci curvature bounded from below
• On the geometry of metric measure spaces. I
• On the geometry of metric measure spaces. II
• Energy spaces, Dirichlet forms and capacities in a nonlinear setting
• DIRICHLET SPACES
• Nonlinear Markov semigroups, nonlinear Dirichlet forms and applications to minimal surfaces
• Sobolev Spaces and Calculus of Variations on Fractals

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