Title
Linear Stochastic Differential Equations in The Dual Of A Multi-Hilbertian Space
Document Type
Article
Publication Date
1-1-2008
Publication Title
Theory of Stochastic Processes
Abstract
We prove the existence and uniqueness of strong solutions for linear stochastic differential equations in the space dual to a multi–Hilbertian space driven by a finite dimensional Brownian motion under relaxed assumptions on the coefficients. As an application, we consider equtions in S' with coefficients which are differential operators violating the typical growth and monotonicity conditions.
Volume
14
Issue
2
First Page
28
Last Page
34
ISSN
0321-3900
Rights
© 2008 Institute of Mathematics, the Institute of Applied Mathematics and Mechanics, and the Scientific Publishers “TBiMC”.
Recommended Citation
Gawarecki, Leszek; Mandrekar, Vidyadhar; and Rajeev, Bhaskaran, "Linear Stochastic Differential Equations in The Dual Of A Multi-Hilbertian Space" (2008). Mathematics Publications. 3.
https://digitalcommons.kettering.edu/mathematics_facultypubs/3
Comments
Vol.14 (30) no.2