Radiation field for Einstein vacuum equations
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2010
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| Online Access: | http://hdl.handle.net/1721.1/60203 |
| _version_ | 1811078312025391104 |
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| author | Wang, Fang, Ph. D. Massachusetts Institute of Technology |
| author2 | Richard B. Melrose. |
| author_facet | Richard B. Melrose. Wang, Fang, Ph. D. Massachusetts Institute of Technology |
| author_sort | Wang, Fang, Ph. D. Massachusetts Institute of Technology |
| collection | MIT |
| description | Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010. |
| first_indexed | 2024-09-23T10:57:36Z |
| format | Thesis |
| id | mit-1721.1/60203 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T10:57:36Z |
| publishDate | 2010 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/602032019-04-12T11:37:44Z Radiation field for Einstein vacuum equations Wang, Fang, Ph. D. Massachusetts Institute of Technology Richard B. Melrose. Massachusetts Institute of Technology. Dept. of Mathematics. Massachusetts Institute of Technology. Dept. of Mathematics. Mathematics. Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010. Cataloged from PDF version of thesis. Includes bibliographical references (p. 77-78). The radiation field introduced by Friedlander provides a direct approach to the asymptotic expansion of solutions to the wave equation near null infinity. We use this concept to study the asymptotic behavior of solutions to the Einstein Vacuum equations, which are close to Minkowski space, at null infinity. By imposing harmonic gauge, the Einstein Vacuum equations reduce to a system of quasilinear wave equations on R"j". We show that if the space dimension n > 5 the Moller wave operator is an isomorphism from Cauchy data satisfying the constraint equations to the radiation fields satisfying the corresponding constraint equations on small neighborhoods of suitable weighted b-type Sobolev spaces. by Fang Wang. Ph.D. 2010-12-06T17:37:34Z 2010-12-06T17:37:34Z 2010 2010 Thesis http://hdl.handle.net/1721.1/60203 681970455 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 78 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Mathematics. Wang, Fang, Ph. D. Massachusetts Institute of Technology Radiation field for Einstein vacuum equations |
| title | Radiation field for Einstein vacuum equations |
| title_full | Radiation field for Einstein vacuum equations |
| title_fullStr | Radiation field for Einstein vacuum equations |
| title_full_unstemmed | Radiation field for Einstein vacuum equations |
| title_short | Radiation field for Einstein vacuum equations |
| title_sort | radiation field for einstein vacuum equations |
| topic | Mathematics. |
| url | http://hdl.handle.net/1721.1/60203 |
| work_keys_str_mv | AT wangfangphdmassachusettsinstituteoftechnology radiationfieldforeinsteinvacuumequations |