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dc.contributor.advisorRodnianski, Igoren_US
dc.contributor.authorYang, Shiwuen_US
dc.contributor.otherMathematics Departmenten_US
dc.description.abstractIn 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.en_US
dc.publisherPrinceton, NJ : Princeton Universityen_US
dc.relation.isformatofThe Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the <a href=> library's main catalog </a>en_US
dc.titleNonlinear wave equations on time dependent inhomogeneous backgroundsen_US
dc.typeAcademic dissertations (Ph.D.)en_US
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