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Convergence of the increments of a stochastic integral associated to the stochastic wave equation

Mairene Colina and Corinne Berzin

Stochastic Processes and their Applications, 2009, vol. 119, issue 7, 2121-2136

Abstract: We study a type of one-dimensional wave equation on the plane with non-linear random forcing. We are interested in the almost sure behaviour of the normalized increments of the solution process associated to this type of wave equation. Also we study the behaviour of the normalized increments of some other stochastic integral equation.

Keywords: Stochastic; wave; equation; Brownian; sheet; Stochastic; integral; on; the; plane; Almost; sure; convergence; of; increments (search for similar items in EconPapers)
Date: 2009
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