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Stochastic PDEs involving a bilaplacian operator
Suprio Bhar, Barun Sarkar · 2023-12-27 · via math.PR updates on arXiv.org

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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