1 citations · 2 across the 8 of their papers we have counts for
8 papers
1D pressureless gas dynamics systems in a strip
Abhrojyoti Sen
We construct explicit measure-valued solutions to the one-dimensional pressureless gas dynamics system in a strip-like domain by introducing a new boundary potential. The construct…
Fine boundary regularity for fully nonlinear mixed local-nonlocal problems
Mitesh Modasiya, Abhrojyoti Sen
We consider Dirichlet problems for fully nonlinear mixed local-nonlocal non-translation invariant operators. For a bounded domain let $u\in C(\mathbb…
A note on Hopf's lemma and strong minimum principle for nonlocal equations with non-standard growth
Abhrojyoti Sen
Let be any open set and be a weak supersolution of where \[\mathcal{L}u(x)=\text{p.v.} \int_{\mathbb{R}^n} g\lef…
Initial boundary value problem for 1D scalar balance laws with strictly convex flux
Manas R. Sahoo, Abhrojyoti Sen, Manish Singh
A Lax-Oleinik type explicit formula for 1D scalar balance laws has been recently obtained for the pure initial value problem by Adimurthi et al. in [1]. In this article, by introdu…
Boundary regularity of mixed local-nonlocal operators and its application
Anup Biswas, Mitesh Modasiya, Abhrojyoti Sen
Let be a bounded domain in and solves \begin{equation*} \begin{aligned} Δu + a Iu + C_0|Du| \geq -K\quad \text{in}\; Ω, \quad Δu + a…
Initial-boundary value problem for 1D pressureless gas dynamics
L. Neumann, M. Oberguggenberger, M. R. Sahoo +1
The paper considers the system of pressureless gas dynamics in one space dimension. The question of solvability of the initial-boundary value problem is addressed. Using the method…