Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 177, Issue 2, Pages 151-183Publisher
SPRINGER
DOI: 10.1007/s00205-005-0362-9
Keywords
-
Categories
Ask authors/readers for more resources
The potential function of the optimal transportation problem satisfies a partial differential equation of Monge-Ampere type. In this paper we introduce the notion of a generalized solution, and prove the existence and uniqueness of generalized solutions of the problem. We also prove the solution is smooth under certain structural conditions on the cost function.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available