Sobolev regularity for optimal transport maps of non-convex planar domains Article Swipe
Connor Mooney
,
Arghya Rakshit
·
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2306.08139
YOU?
·
· 2023
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2306.08139
We prove a sharp global $W^{2,\,p}$ estimate for potentials of optimal transport maps that take a certain class of non-convex planar domains to convex ones.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2306.08139
- https://arxiv.org/pdf/2306.08139
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4380993080
All OpenAlex metadata
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https://openalex.org/W4380993080Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2306.08139Digital Object Identifier
- Title
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Sobolev regularity for optimal transport maps of non-convex planar domainsWork title
- Type
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preprintOpenAlex work type
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enPrimary language
- Publication year
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2023Year of publication
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2023-06-13Full publication date if available
- Authors
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Connor Mooney, Arghya RakshitList of authors in order
- Landing page
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https://arxiv.org/abs/2306.08139Publisher landing page
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https://arxiv.org/pdf/2306.08139Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2306.08139Direct OA link when available
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Regular polygon, Planar, Class (philosophy), Mathematics, Sobolev space, Pure mathematics, Combinatorics, Geometry, Computer science, Artificial intelligence, Computer graphics (images)Top concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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