2 papers
math.FA2025
New Approaches to the Monotonicity Inequality for Linear Stochastic PDEs
Suprio Bhar, Arvind Kumar Nath
The Monotonicity inequality is an important tool in the understanding of existence and uniqueness of strong solutions for Stochastic PDEs. In this article, we discuss three approac…
math.PR2024
Invariant Measure for Linear Stochastic PDEs in the space of Tempered distributions
Arvind Kumar Nath
In this paper, we first explore exponential stability by using Monotonicity inequality and use this information to obtain the existence of Invariant measure for linear Stochastic P…