Parabolic Equations with Irregular Data and Related Issues : : Applications to Stochastic Differential Equations / / Claude Le Bris, Pierre-Louis Lions.
This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection bet...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2019 Part 1 |
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| VerfasserIn: | |
| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
| Year of Publication: | 2019 |
| Language: | English |
| Series: | De Gruyter Series in Applied and Numerical Mathematics ,
4 |
| Online Access: | |
| Physical Description: | 1 online resource (XI, 145 p.) |
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| Other title: | Frontmatter -- Contents -- Introduction -- 1. General context -- 2. Operators with constant second-order term -- 3. Equations in divergence form -- 4. Extensions -- Bibliography -- Index |
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| Summary: | This book studies the existence and uniqueness of solutions to parabolic-type equations with irregular coefficients and/or initial conditions. It elaborates on the DiPerna-Lions theory of renormalized solutions to linear transport equations and related equations, and also examines the connection between the results on the partial differential equation and the well-posedness of the underlying stochastic/ordinary differential equation. |
| Format: | Mode of access: Internet via World Wide Web. |
| ISBN: | 9783110635508 9783110762464 9783110719567 9783110616859 9783110610765 9783110664232 9783110610406 9783110606362 |
| ISSN: | 2512-1820 ; |
| DOI: | 10.1515/9783110635508 |
| Access: | restricted access |
| Hierarchical level: | Monograph |
| Statement of Responsibility: | Claude Le Bris, Pierre-Louis Lions. |