Gordić, S., Levajković, T., & Oparnica, L. (2023). On a Wick-type stochastic parabolic equations with random potentials. Partial Differential Equations in Applied Mathematics, 7, Article 100473. https://doi.org/10.1016/j.padiff.2022.100473
Partial Differential Equations in Applied Mathematics
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Date (published):
Jun-2023
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Number of Pages:
5
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Publisher:
Elsevier BV
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Peer reviewed:
Yes
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Keywords:
Chaos expansions; Random potentials; Stochastic parabolic equations; Wick product
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Abstract:
Stochastic parabolic equations with random potentials, where the Wick product is used to give sense to the product of generalized stochastic processes, are considered. The existence and uniqueness of solutions are proved via the chaos expansion method from white noise analysis and explicit estimates on the coefficients in the chaos expansion representation of the solutions are provided.
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Research Areas:
Mathematical and Algorithmic Foundations: 20% Fundamental Mathematics Research: 80%
