Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach
Probability
2014-06-17 v1
Abstract
Semilinear stochastic evolution equations with multiplicative Poisson noise and monotone nonlinear drift are considered. We do not impose coercivity conditions on coefficients. A novel method of proof for establishing existence and uniqueness of the mild solution is proposed. Examples on stochastic partial differential equations and stochastic delay differential equations are provided to demonstrate the theory developed.
Keywords
Cite
@article{arxiv.1406.3908,
title = {Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach},
author = {Erfan Salavati and Bijan Z. Zangeneh},
journal= {arXiv preprint arXiv:1406.3908},
year = {2014}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1304.2122