A parabolic flow toward solutions of the optimal transportation problem on domains with boundary

作者：Kitagawa Jun^*

来源：Journal fur die Reine und Angewandte Mathematik, 2012, 672: 127-160.

DOI：10.1515/crelle.2012.001

We consider a parabolic version of the mass transport problem, and show that a solution converges to a solution of the original mass transport problem under suitable conditions on the cost function, and initial and target domains.

• 出版日期2012-11