3 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…
stat.ME2024
Operator on Operator Regression in Quantum Probability
Suprio Bhar, Subhra Sankar Dhar, Soumalya Joardar
This article introduces operator on operator regression in quantum probability. Here in the regression model, the response and the independent variables are certain operator valued…
math.PR2023
Existence and Uniqueness of Stochastic PDEs associated with the Forward Equations: An Approach using Alternate Norms
Suprio Bhar, Rajeev Bhaskaran, Arvind Kumar Nath
We consider stochastic PDEs \[dY_t = L(Y_t)\, dt + A(Y_t).\, dB_t, t > 0\] and associated PDEs \[du_t = L u_t\, dt, t > 0\] with regular initial conditions. Here, and are c…