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arXiv · 2411.04631

Existence of Martingale Solutions to Stochastic Constrained Heat Equation

Javed Hussain·Abdul Fatah·Saeed Ahmed
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Abstract

This article extends the work on stochastic constrained heat equation in \cite{brzezniak2020global}. We will show the existence of Martingale solutions to the stochastic-constrained heat equations. The proof is based on compactness, tightness of measure, quadratic variations, and Martingale representation theorem.

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Javed Hussain, Abdul Fatah, Saeed Ahmed. 2024-11-07. Existence of Martingale Solutions to Stochastic Constrained Heat Equation. https://arxiv.org/abs/2411.04631

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