Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach

Erfan Salavati; Bijan Z. Zangeneh

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arXiv · 1406.3908

Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach

Erfan Salavati·Bijan Z. Zangeneh

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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.

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Erfan Salavati, Bijan Z. Zangeneh. 2014-06-16. Stochastic Evolution Equations with Multiplicative Poisson Noise and Monotone Nonlinearity: A New Approach. https://arxiv.org/abs/1406.3908

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