3 citations · 9 across the 19 of their papers we have counts for
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Stochastic PDEs involving a bilaplacian operator
Suprio Bhar, Barun Sarkar
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…
Weak Solutions of SPDEs in the space of Tempered distributions
Suprio Bhar, Barun Sarkar
In this article, we construct weak solutions for a class of Stochastic PDEs in the space of tempered distributions via Girsanov's theorem. It is to be noted that our drift and diff…
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…
Co-variance Operator of Banach Valued Random Elements: U-Statistic Approach
Suprio Bhar, Subhra Sankar Dhar
This article proposes a co-variance operator for Banach valued random elements using the concept of -statistic. We then study the asymptotic distribution of the proposed co-vari…
Testing Independence of Infinite Dimensional Random Elements: A Sup-norm Approach
Suprio Bhar, Subhra Sankar Dhar
In this article, we study the test for independence of two random elements and lying in an infinite dimensional space (specifically, a real separable Hilbert sp…