Existence result for a class of stochastic quasilinear partial differential equations with non-standard growth

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University of Pretoria

Abstract

In this dissertation, we investigate a very interesting class of quasi-linear stochastic partial differential equations. The main purpose of this article is to prove an existence result for such type of stochastic differential equations with non-standard growth conditions. The main difficulty in the present problem is that the existence cannot be easily retrieved from the well known results under Lipschitz type of growth conditions [42].

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Dissertation (MSc)--University of Pretoria, 2010.

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Stochastic differential equations, Quasi-linear stochastic, UCTD

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Ali, ZI 2010, Existence result for a class of stochastic quasilinear partial differential equations with non-standard growth, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/29519 >