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Generalized Price's law on fractional-order asymptotically flat stationary spacetimes
- Publication Year :
- 2021
-
Abstract
- We obtain estimates on the rate of decay of a solution to the wave equation on a stationary spacetime that tends to Minkowski space at a rate $O(\lvert x \rvert^{-\kappa}),$ $\kappa \in (1,\infty) \backslash \mathbb{N}.$ Given suitably smooth and decaying initial data, we show a wave locally enjoys the decay rate $O(t^{-\kappa-2+\epsilon})$.<br />Comment: 36 pages; updated with clarifying exposition and fixed typos
- Subjects :
- Mathematics - Analysis of PDEs
Mathematics - Spectral Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2105.02305
- Document Type :
- Working Paper