Late-time asymptotics for geometric wave equations with inverse-square potentials
نویسندگان
چکیده
We introduce a new, physical-space-based method for deriving the precise leading-order late-time behaviour of solutions to geometric wave equations on asymptotically flat spacetime backgrounds and apply it setting with inverse-square potentials Schwarzschild black holes. This provides useful toy model introducing methods that are applicable more general linear nonlinear equations, such as electromagnetically charged scalar fields, extremal Kerr holes in even space dimensions, where existing proofs asymptotics might not apply. The we relies exploiting spatial decay properties time integrals derive existence genericity asymptotic tails obtain sharp, uniform estimates time.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2023
ISSN: ['0022-1236', '1096-0783']
DOI: https://doi.org/10.1016/j.jfa.2023.110058