Powers Of Generators On Dirichlet Spaces And Applications To Harnack\n Principles Article Swipe
Fabrice Baudoin
,
Quanjun Lang
,
Yannick Sire
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2010.01036
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2010.01036
We provide a general framework for the realization of powers or functions of\nsuitable operators on Dirichlet spaces. The first contribution is to unify the\navailable results dealing with specific geometries; a second one is to provide\nnew results on rather general metric measured spaces that were not considered\nbefore and fall naturally in the theory of Dirichlet spaces. The main tool is\nusing the approach based on subordination and semi-groups by Stinga and Torrea.\nAssuming more on the Dirichlet space, we derive several applications to PDEs\nsuch as Harnack and Boundary Harnack principles.\n
Related Topics
Concepts
Harnack's principle
Harnack's inequality
Dirichlet distribution
Mathematics
Subordination (linguistics)
Realization (probability)
Pure mathematics
Space (punctuation)
Boundary (topology)
Metric (unit)
Dirichlet's principle
Dirichlet boundary condition
Mathematical analysis
Applied mathematics
Boundary value problem
Computer science
Engineering
Statistics
Operations management
Philosophy
Operating system
Linguistics
Metadata
- Type
- preprint
- Landing Page
- http://arxiv.org/abs/2010.01036
- https://arxiv.org/pdf/2010.01036
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4287647348
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4287647348Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2010.01036Digital Object Identifier
- Title
-
Powers Of Generators On Dirichlet Spaces And Applications To Harnack\n PrinciplesWork title
- Type
-
preprintOpenAlex work type
- Publication year
-
2020Year of publication
- Publication date
-
2020-10-02Full publication date if available
- Authors
-
Fabrice Baudoin, Quanjun Lang, Yannick SireList of authors in order
- Landing page
-
https://arxiv.org/abs/2010.01036Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2010.01036Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2010.01036Direct OA link when available
- Concepts
-
Harnack's principle, Harnack's inequality, Dirichlet distribution, Mathematics, Subordination (linguistics), Realization (probability), Pure mathematics, Space (punctuation), Boundary (topology), Metric (unit), Dirichlet's principle, Dirichlet boundary condition, Mathematical analysis, Applied mathematics, Boundary value problem, Computer science, Engineering, Statistics, Operations management, Philosophy, Operating system, LinguisticsTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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