Stochastic PDEs involving a bilaplacian operator
Probability
2023-12-29 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.2312.16550,
title = {Stochastic PDEs involving a bilaplacian operator},
author = {Suprio Bhar and Barun Sarkar},
journal= {arXiv preprint arXiv:2312.16550},
year = {2023}
}