Article ID Journal Published Year Pages File Type
1155515 Stochastic Processes and their Applications 2013 19 Pages PDF
Abstract

We extend the classical Garsia–Rodemich–Rumsey inequality to the multiparameter situation. The new inequality is applied to obtain some joint Hölder continuity along the rectangles for fractional Brownian fields W(t,x)W(t,x) and for the solution u(t,y)u(t,y) of the stochastic heat equation with additive white noise.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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