Sobolev-Kantorovich Inequalities
In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich-Wasserstein distance to μ. This article emphasize...
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Format: | Article |
Language: | English |
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De Gruyter
2015-07-01
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Series: | Analysis and Geometry in Metric Spaces |
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Online Access: | https://doi.org/10.1515/agms-2015-0011 |