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Licensed Unlicensed Requires Authentication Published by De Gruyter February 22, 2012

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

  • Jun Kitagawa EMAIL logo

Abstract

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.

Received: 2010-08-04
Revised: 2011-08-16
Published Online: 2012-02-22
Published in Print: 2012-11

©[2012] by Walter de Gruyter Berlin Boston

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