Title page for ETD etd-11172011-103734


Document Type Master's Dissertation
Author Ali, Zakaria Idriss
Email zakaria@aims.ac.za
URN etd-11172011-103734
Document Title Existence result for a class of stochastic quasilinear partial differential equations with non-standard growth
Degree MSc
Department Mathematics and Applied Mathematics
Supervisor
Advisor Name Title
Prof M Sango Supervisor
Keywords
  • stochastic differential equations
  • quasi-linear stochastic
Date 2011-09-09
Availability unrestricted
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].

2010, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.

Please cite as follows:

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://upetd.up.ac.za/thesis/available/etd-11172011-103734/>

E11/9/194/gm

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