Stochastic evolution equations in locally convex space

Yadava, S. L. (1986) Stochastic evolution equations in locally convex space Proceedings of the IndiaProceedings of the Indian Academy of Sciences - Mathematical Sciences, 95 (2). pp. 79-96. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/95/2/79-96/...

Related URL: http://dx.doi.org/10.1007/BF02881072

Abstract

Ito's stochastic integral is defined with respect to a Wiener process taking values in a locally convex space and Ito's formula is proved. Existence and uniqueness theorem is proved in a locally convex space for a class of stochastic evolution equations with white noise as a stochastic forcing term. The stochastic forcing term is modelled by a locally convex space valued stochastic integral.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Locally Convex Space; Wiener Process; Stochastic Integral; Ito's Formula; Stochastic Evolution Equation
ID Code:60646
Deposited On:09 Sep 2011 09:47
Last Modified:18 May 2016 10:41

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