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

Autor: Ali, Zakaria Idriss
Rok vydání: 2011
Předmět:
Druh dokumentu: Dissertation
Popis: 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].
Dissertation (MSc)--University of Pretoria, 2010.
Mathematics and Applied Mathematics
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Databáze: Networked Digital Library of Theses & Dissertations