Publication date
January 2010
DOIAbstract
Erbar M. The heat equation on manifolds as a gradient flow in the Wasserstein space. Ann. Inst. Henri Poincaré Probab. Stat. 2010;46(1):1-23
Erbar M. The heat equation on manifolds as a gradient flow in the Wasserstein space. Ann. Inst. Henri Poincaré Probab. Stat. 2010;46(1):1-23
We prove that on compact Alexandrov spaces with curvature bounded below the gradient flow of the Dir...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
We present a simple probability approach for establishing a gradient estimate for a solution of an e...
This thesis is twofold. In the first part, a proof of the interpolation inequality along geodesics i...
AbstractWe establish a duality between Lp-Wasserstein control and Lq-gradient estimate in a general ...
Erbar M, Forkert D, Maas J, Mugnolo D. Gradient flow formulation of diffusion equations in the Wasse...
This paper studies the heat flow on Finsler manifolds. A Finsler manifold is a smooth manifold M equ...
AbstractThe paper considers a manifold M evolving under the Ricci flow and establishes a series of g...
The study of positive solutions of the heat equation $\frac{\partial}{\partial \alpha} u = \Delta u$...
Abstract. In this paper we prove a new monotonicity formula for the heat equation via a generalized ...
We prove that on compact Alexandrov spaces with curvature bounded below the gradient flow of the Dir...
We study stochastic processes on the Wasserstein space, together with their infinitesimal generators...
Minor typos corrected and many small improvements added. Lemma 2.4, Lemma 2.10, Prop. 5.7, Rem. 5.8,...
To the memory of Enrico Magenes, whose exemplar life, research and teaching shaped generations of ma...
Many evolutionary partial differential equations may be rewritten as the gradient flow of an energy ...
We prove that on compact Alexandrov spaces with curvature bounded below the gradient flow of the Dir...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
We present a simple probability approach for establishing a gradient estimate for a solution of an e...
This thesis is twofold. In the first part, a proof of the interpolation inequality along geodesics i...
AbstractWe establish a duality between Lp-Wasserstein control and Lq-gradient estimate in a general ...
Erbar M, Forkert D, Maas J, Mugnolo D. Gradient flow formulation of diffusion equations in the Wasse...
This paper studies the heat flow on Finsler manifolds. A Finsler manifold is a smooth manifold M equ...
AbstractThe paper considers a manifold M evolving under the Ricci flow and establishes a series of g...
The study of positive solutions of the heat equation $\frac{\partial}{\partial \alpha} u = \Delta u$...
Abstract. In this paper we prove a new monotonicity formula for the heat equation via a generalized ...
We prove that on compact Alexandrov spaces with curvature bounded below the gradient flow of the Dir...
We study stochastic processes on the Wasserstein space, together with their infinitesimal generators...
Minor typos corrected and many small improvements added. Lemma 2.4, Lemma 2.10, Prop. 5.7, Rem. 5.8,...
To the memory of Enrico Magenes, whose exemplar life, research and teaching shaped generations of ma...
Many evolutionary partial differential equations may be rewritten as the gradient flow of an energy ...
We prove that on compact Alexandrov spaces with curvature bounded below the gradient flow of the Dir...
This book is devoted to a theory of gradient flows in spaces which are not necessarily endowed with ...
We present a simple probability approach for establishing a gradient estimate for a solution of an e...
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