A. Biswas

activity

20182026

most citedHarnack inequalities and Hölder estimates for master equations

2 citations · 4 across the 4 of their papers we have counts for

collaborators

4 papers

math.AP2026

The equivalence of solutions to fractional and logarithmic Helmholtz equations

A. Biswas, J. Groszkiewicz, P. R. Stinga

We show the following equivalence of solutions to general fractional Helmholtz equations: $u$ is a solution to $A^{s} u = λ^{s} u$ for \textit{some} fixed $0 < s < 2$ and some $λ > 0$ if and o…

math.AP2022★ 1 cited

Nonlocal Mean Curvature with Integrable Kernel

Animesh Biswas, Mikil Foss, Petronela Radu

We study the prescribed constant mean curvature problem in the nonlocal setting where the nonlocal curvature has been defined as $$ H^J_Ω(x):=\int_{\mathbb{R} ^n} J(x-y)(χ_{Ω^c}(y)…

math.AP2019★ 1 cited

Regularity estimates for nonlocal space-time master equations in bounded domains

A. Biswas, P. R. Stinga

We obtain sharp parabolic interior and global Schauder estimates for solutions to nonlocal space-time master equations $(\partial_{t} + L)^{s} u = f$ in $R \times Ω$ , where $L$ …

math.AP2018★ 2 cited

Harnack inequalities and Hölder estimates for master equations

A. Biswas, M. De León-Contreras, P. R. Stinga

We study master equations of the form $(\partial_{t} + L)^{s} u = f in R \times Ω$ where $L$ is a divergence form elliptic operator and $Ω \subseteq R^{n}$ . These a…