Smooth Solutions of Non-linear Stochastic Partial Differential Equations

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dc.creatorZhang, Xicheng
dc.date2008-01-25
dc.date.accessioned2026-07-07T08:56:26Z
dc.date.available2026-07-07T08:56:26Z
dc.descriptionIn this paper, we study the regularities of solutions of nonlinear stochastic partial differential equations in the framework of Hilbert scales. Then we apply our general result to several typical nonlinear SPDEs such as stochastic Burgers and Ginzburg-Landau's equations on the real line, stochastic 2D Navier-Stokes equations in the whole space and a stochastic tamed 3D Navier-Stokes equation in the whole space, and obtain the existence of their respectively smooth solutions.
dc.description26Pages
dc.identifierhttps://arxiv.org/abs/0801.3883
dc.identifierhttp://arxiv.org/abs/0801.3883
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146612
dc.subjectProbability
dc.subjectAnalysis of PDEs
dc.subject60H15, 35R60
dc.titleSmooth Solutions of Non-linear Stochastic Partial Differential Equations
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