Stochastic PDEs involving a bilaplacian operator

Suprio Bhar; Barun Sarkar

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arXiv · 2312.16550

Stochastic PDEs involving a bilaplacian operator

Suprio Bhar·Barun Sarkar

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Abstract

In this article, we study the existence and uniqueness problem for linear Stochastic PDEs involving a bilaplacian operator. Our results on the existence and uniqueness are obtained through an application of a Monotonicity inequality, which we also prove here. As an application of these results, we also obtain a probabilistic representation of the solution for a linear PDE involving the bilaplacian operator.

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Suprio Bhar, Barun Sarkar. 2023-12-27. Stochastic PDEs involving a bilaplacian operator. https://arxiv.org/abs/2312.16550

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