Nonlinear diffusion equations and curvature conditions in metric measure spaces

Nonlinear diffusion equations and curvature conditions in metric measure spaces

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces (X,d,m). On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of K-convex...

书目详细资料
Main Authors:	Ambrosio, L, Mondino, A, Savaré, G
格式:	Journal article
出版:	American Mathematical Society 2020

相似书籍

On the Bakry-Émery condition, the gradient estimates and the Local-to-Global property of RCD*(K,N) metric measure spaces
由: Ambrosio, L, et al.
出版: (2014)

The metric measure boundary of spaces with Ricci curvature bounded below
由: Brué, E, et al.
出版: (2023)

Structure Theory of Metric-Measure Spaces with Lower Ricci Curvature Bounds
由: Mondino, A, et al.
出版: (2019)

Sharp and rigid isoperimetric inequalities in metric-measure spaces with lower Ricci curvature bounds
由: Cavalletti, F, et al.
出版: (2016)

Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds
由: Cavalletti, F, et al.
出版: (2017)

METRIC AND CURVATURE PROPERTIES OF H-SPACE
由: Hansen, R, et al.
出版: (1978)

On the volume measure of non-smooth spaces with Ricci curvature bounded below
由: Kell, M, et al.
出版: (2018)

Angles between curves in metric measure spaces
由: Han, B, et al.
出版: (2017)

On quotients of spaces with Ricci curvature bounded below
由: Galaz-García, F, et al.
出版: (2018)

Measure rigidity of Ricci curvature lower bounds
由: Cavalletti, F, et al.
出版: (2015)

Entropy-Transport distances between unbalanced metric measure spaces
由: De Ponti, N, et al.
出版: (2022)

Multidimensional reaction diffusion equations with nonlinear boundary conditions
由: Lacey, A, et al.
出版: (1998)

Currents in metric spaces
由: Ambrosio, L, et al.
出版: (2000)

Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions
由: Mondino, A, et al.
出版: (2016)

Almost euclidean isoperimetric inequalities in spaces satisfying local Ricci curvature lower bounds
由: Cavalletti, F, et al.
出版: (2018)

Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds
由: Mondino, A, et al.
出版: (2021)

Optimal transport in Lorentzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
由: Cavalletti, F, et al.
出版: (2024)

Rectifiable sets in metric and Banach spaces
由: Ambrosio, L, et al.
出版: (2000)

Topics on analysis in metric spaces /
由: 198528 Ambrosio, Luigi, et al.
出版: (2004)

The Seiberg–Witten equations on end‐periodic manifolds and an obstruction to positive scalar curvature metrics
由: Lin, Jianfeng
出版: (2022)

Polya-Szego inequality and Dirichlet p-spectral gap for non-smooth spaces with Ricci curvature bounded below
由: Mondino, A, et al.
出版: (2019)

Constant Scalar Curvature Metrics on Connected Sums
由: Joyce, D
出版: (2003)

Constant Scalar Curvature Metrics on Connected Sums
由: Joyce, D
出版: (2001)

Nonlocal approximation of nonlinear diffusion equations
由: Carrillo, JA, et al.
出版: (2024)

Nonlocal approximation of nonlinear diffusion equations
由: Carrillo, JA, et al.
出版: (2024)

Nonlinear methods for solving the diffusion equation.
由: Shober, Robert Anthony
出版: (2005)

Nonlinear methods for solving the diffusion equation
由: Shober, Robert Anthony, et al.
出版: (2014)

Theory of set differential equations in metric spaces /
由: 172742 Lakshmikantham, V., et al.
出版: (2006)

Probability measures on metric spaces /
由: 365740 Parthasarathy, K. R.
出版: (1967)

Poincaré inequality for one forms on four manifolds with bounded Ricci curvature
由: Honda, S, et al.
出版: (2025)

Gaussian-type isoperimetric inequalities in RCD $(K, \infty)$ probability spaces for positive $K$
由: Ambrosio, L, et al.
出版: (2016)

Nonlinear equations in abstract spaces /
由: Lakshmikantham, V., 1926-
出版: (1978)

Source solutions for the nonlinear diffusion-convection equation
由: Sander, G, et al.
出版: (1997)

Modelling collective invasion with reaction–diffusion equations: when does domain curvature matter?
由: Pollacco, JJ, et al.
出版: (2024)

Anomalous Higgs oscillations mediated by Berry curvature and quantum metric
由: Villegas, Kristian Hauser A., et al.
出版: (2022)

Lectures on spaces of nonpositive curvature /
由: 444007 Ballmann, Werner
出版: (1995)

Sectional and intermediate Ricci curvature lower bounds via optimal transport
由: Ketterer, C, et al.
出版: (2018)

A review of Lorentzian synthetic theory of timelike Ricci curvature bounds
由: Cavalletti, F, et al.
出版: (2022)

On curvature element-size control in metric surface mesh generation
由: Lee, Chi King
出版: (2014)

Isoperimetric inequalities for finite perimeter sets under lower Ricci curvature bounds
由: Cavalletti, F, et al.
出版: (2018)