Nonlinear analysis in geometry and applied mathematics
著者
書誌事項
Nonlinear analysis in geometry and applied mathematics
（Harvard University Center of Mathematical Sciences and Applications : series in mathematics, v. 1-v. 2）
International Press, c2017-
- [pt. 1]
- pt. 2
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注記
Includes bibliographical references
"Part of the program year 2015-2016 on "Nonlinear Equations"" -- On cover
Editors of pt. 2: Lydia Bieri, Tristan C. Collins, Piotr T. Chruściel, Shing-Tung Yau
内容説明・目次
- 巻冊次
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[pt. 1] ISBN 9781571463449
内容説明
During the 2015-2016 year at Harvard University's Center of Mathematical Sciences and Applications (CMSA), several researchers working in mathematical general relativity presented lectures on modern topics of research in the field of "Non-linear Equations." This volume presents articles-by those researchers and their co-authors-drawn from their CMSA lectures.
Specific topics include the Cauchy problem for the Einstein equations in cosmological and non-cosmological settings; investigation of stability as well as singularities (black holes) of classes of spacetimes; initial data engineering; gravitational radiation; and asymptotics of spacetimes, quasi-local energies, and their limits.
The content of this volume reflects some of the activities at the Harvard CMSA during the 2015-2016 program, and provides insights into active areas of research in mathematical general relativity that can benefit scholars working in PDEs, geometric analysis, and general relativity.
- 巻冊次
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pt. 2 ISBN 9781571463593
内容説明
During the 2015-2016 year, Harvard University's Center of Mathematical Sciences and Applications (CMSA) hosted a year-long thematic program on nonlinear equations and their connections to geometry, physics, and computer science. This volume presents articles contributed by some of the participants in this program, and builds on the activities of that special year. Specific topics include: general existence and regularity for elliptic and parabolic equations, the theory of minimal surfaces, the Weyl and Minkowski problems, transport and conservations laws, Navier-Stokes, and the Calderon problem. This volume, the second in the series, will benefit scholars working in nonlinear analysis and its connections with geometry and physics.
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