No CrossRef data available.
Article contents
A UNIFIED EXISTENCE AND UNIQUENESS THEOREM FOR STOCHASTIC EVOLUTION EQUATIONS
Published online by Cambridge University Press: 05 October 2009
Abstract
An existence and uniqueness theorem for mild solutions of stochastic evolution equations is presented and proved. The diffusion coefficient is handled in a unified way which allows a unified theorem to be formulated for different cases, in particular, of multiplicative space–time white noise and trace-class noise.
Keywords
MSC classification
- Type
- Research Article
- Information
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2009
Footnotes
This work has been supported by the DFG project ‘Pathwise numerics and dynamics of stochastic evolution equations’.