A. Biswas

collaborators

2 papers

math.AP2026

The Pohozaev identity for mixed local-nonlocal operator

Anup Biswas

In this article we prove the Pohozaev identity for the semilinear Dirichlet problem of the form $- I^ u + a (- I^)^{s} u = f (u)$ in $I^c ◯$ , and $u = 0$ in $I^c ◯^{c}$ , where $a$ is a non-negative…

math.AP2025

A unified framework for pointwise convergence to the initial data of heat equations in metric measure spaces

Divyang G. Bhimani, Anup Biswas, Rupak K. Dalai

Given a metric measure space $(X, d, I^¼)$ satisfying the volume doubling condition, we consider a semigroup ${S_{t}}$ and the associated heat operator. We propose general…