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- W4286750876 abstract "In this paper, we prove pointwise decay rates for cubic and higher order nonlinear wave equations, including quasilinear wave equations, on asymptotically flat and time-dependent spacetimes. We assume that the solution to the linear equation (rather than the nonlinear equation) satisfies a weaker form of the standard integrated local energy decay, or Morawetz, estimate. For nonlinearities with a total derivative structure, we prove better pointwise decay rates." @default.
- W4286750876 created "2022-07-23" @default.
- W4286750876 creator A5068854915 @default.
- W4286750876 date "2022-07-20" @default.
- W4286750876 modified "2023-10-18" @default.
- W4286750876 title "Decay rates for cubic and higher order nonlinear wave equations on asymptotically flat spacetimes" @default.
- W4286750876 doi "https://doi.org/10.48550/arxiv.2207.10280" @default.
- W4286750876 hasPublicationYear "2022" @default.
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