Radiation field for Einstein vacuum equations
Name
681970455-MIT.pdf
Description
Full printable version
Size
2.25 MB
Format
Adobe PDF
Checksum (MD5)
4c1d3968855755ee13ae17557fce5ecf
Author(s)
Wang, Fang, Ph. D. Massachusetts Institute of Technology
Advisor(s)
Richard B. Melrose.
Date Issued
2010
Publisher
Massachusetts Institute of Technology
Abstract
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2010.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 77-78).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
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copyright. They may be viewed from this source for any purpose, but
reproduction or distribution in any format is prohibited without written
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