Nonlinear Diffusion Equations and Curvature Conditions in Metric Measure Spaces (Memoirs of the American Mathematical Society)

The aim of this paper is to provide new characterizations of the curvature dimension condition in the context of metric measure spaces $(X,\mathsf d,\mathfrak m)$. On the geometric side, the authors' new approach takes into account suitable weighted action functionals which provide the natural modulus of $K$-convexity when one investigates the convexity properties of $N$-dimensional entropies. On the side of diffusion semigroups and evolution variational...

• Format: Paperback
• Language: English
• ISBN: 1470439131
• ISBN13: 9781470439132
• Release Date: March 2020
• Publisher: American Mathematical Society
• Length: 121 Pages
• Weight: 1.11 lbs.
• Dimensions: 7.0" x 10.0"