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<p>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.</p>

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Stochastic PDEs Involving a Bilaplacian Operator

  • 期刊论文

  • 发表日期：

    2025年12月3日

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  • Suprio Bhar,
  • Barun Sarkar

摘要

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.