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Title: Nonlinear wave equations on time dependent inhomogeneous backgrounds
Authors: Yang, Shiwu
Advisors: Rodnianski, Igor
Contributors: Mathematics Department
Subjects: Mathematics
Issue Date: 2013
Publisher: Princeton, NJ : Princeton University
Abstract: In this thesis, I study the nonlinear wave equations on a class of asymptotically flat Lorentzian manifolds (R<super>3+1<\super>, <italic>g<\italic>) with <bold>time dependent<\bold> inhomogeneous metric <italic>g<\italic>. Based on a new approach for proving the decay of solutions of linear wave equations, I give several applications to nonlinear problems. In particular, I show the small data global existence result for quasilinear wave equations satisfying the null condition on a class of time dependent inhomogeneous backgrounds which do not settle to any particular stationary metric.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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