A. Biswas

activity

20092022

most citedStrict monotonicity of principal eigenvalues of elliptic operators in

R^{d}

and risk-sensitive control

32 citations · 297 across the 46 of their papers we have counts for

collaborators

Showing 2022 · math.APShow all

2 papers · 2 filters

math.AP2022

Existence-Uniqueness for nonlinear integro-differential equations with drift in $R^{d}$

Anup Biswas, Saibal Khan

In this article we consider a class of nonlinear integro-differential equations of the form $$\inf_{τ\in\mathcal{T}} \bigg\{\int_{\mathbb{R}^d} (u(x+y)+u(x-y)-2u(x))\frac{k_τ(x,y)}…

math.AP2022

Boundary regularity of mixed local-nonlocal operators and its application

Anup Biswas, Mitesh Modasiya, Abhrojyoti Sen

Let $Ω$ be a bounded $C^{2}$ domain in $R^{n}$ and $u \in C (R^{n})$ solves \begin{equation*} \begin{aligned} Δu + a Iu + C_0|Du| \geq -K\quad \text{in}\; Ω, \quad Δu + a…

Existence-Uniqueness for nonlinear integro-differential equations with drift in Rd

Boundary regularity of mixed local-nonlocal operators and its application

Existence-Uniqueness for nonlinear integro-differential equations with drift in $R^{d}$