{"title":"Generalized Price’s law on fractional-order asymptotically flat stationary spacetimes","authors":"Katrina Morgan, Jared Wunsch","doi":"10.4310/mrl.2023.v30.n3.a10","DOIUrl":null,"url":null,"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 $O(t^{-\\kappa-2+\\epsilon})$.","PeriodicalId":49857,"journal":{"name":"Mathematical Research Letters","volume":"92 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Research Letters","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4310/mrl.2023.v30.n3.a10","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
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 $O(t^{-\kappa-2+\epsilon})$.
期刊介绍:
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