Regularity of optimal transportation between spaces with different dimensions
نویسندگان
چکیده
منابع مشابه
Regularity of Optimal Transportation between Spaces with Different Dimensions
We study the regularity of solutions to an optimal transportation problem in which the dimension of the source is larger than that of the target. We prove that, unless the cost c has a very special form, (in which case we show that the problem can be reduced to an optimal transportation problem between equal dimensional spaces), there are smooth marginals for which the optimal map is discontinu...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2012
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2012.v19.n2.a3