21 citations · 26 across the 11 of their papers we have counts for
4 papers · 1 filter
Mixed local-nonlocal operators: maximum principles, eigenvalue problems and their applications
Anup Biswas, Mitesh Modasiya
In this article we consider a class of non-degenerate elliptic operators obtained by superpositioning the Laplacian and a general nonlocal operator. We study the existence-uniquene…
On ergodic control problem for viscous Hamilton--Jacobi equations for weakly coupled elliptic systems
Ari Arapostathis, Anup Biswas, Prasun Roychowdhury
In this article we study ergodic problems in the whole space for weakly coupled systems of viscous Hamilton-Jacobi equations with coercive right-hand sides. The Hami…
Ergodic Risk-Sensitive Control of Markov Processes on Countable State Space Revisited
Anup Biswas, Somnath Pradhan
We consider a large family of discrete and continuous time controlled Markov processes and study an ergodic risk-sensitive minimization problem. Under a blanket stability assumptio…
On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems
Ari Arapostathis, Anup Biswas, Somnath Pradhan
We consider general linear non-degenerate weakly-coupled cooperative elliptic systems and study certain monotonicity properties of the generalized principal eigenvalue in $\mathbb{…