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Non relativistic and ultra relativistic limits in 2d stochastic nonlinear damped Klein-Gordon equation

We study the non relativistic and ultra relativistic limits in the two-dimensional nonlinear damped Klein-Gordon equation driven by a space-time white noise on the torus. In order to take the limits, it is crucial to clarify the parameter dependence in the estimates of solution. In this paper we present two methods to confirm this parameter dependence. One is the classical, simple energy method. Another is the method via Strichartz estimates.

preprint2022arXivOpen access
Reika FukuizumiMasato HoshinoTakahisa Inui
math.AP
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Reika FukuizumiMasato HoshinoTakahisa Inui

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