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arXiv · 2204.02696

Wick-type stochastic parabolic equations with random potentials

Snežana Gordić·Tijana Levajković·Ljubica Oparnica
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Abstract

The stochastic parabolic equations with random potentials, driving forces and initial conditions are considered. The Wick product is used to give sense to the product of two generalized stochastic processes, and the existence and uniqueness of solutions are proved via the chaos expansion method from white noise analysis. The estimates on coefficients in the chaos expansion form of the solutions are provided.

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Snežana Gordić, Tijana Levajković, Ljubica Oparnica. 2022-04-06. Wick-type stochastic parabolic equations with random potentials. https://arxiv.org/abs/2204.02696

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