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math.AP2021★ 3 cited
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…
math.AP2021★ 1 cited
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{…