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math.AP2021★ 14 cited
Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs
Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury
We prove a family of Hardy-Rellich and Poincaré identities and inequalities on the hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second order Po…
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…