2 papers
math.AP2026
Inhomogeneous parabolic equations with Hardy potential and memory on the Heisenberg group
Priyank Oza, Vishvesh Kumar, Durvudkhan Suragan
We study a class of inhomogeneous parabolic equations on the Heisenberg group $\mathbbm{H}^N$ with Hardy-type singular potentials, nonlocal memory terms, and a space-time forcing t…
math.AP2025
Fujita exponent for the fractional sub-Laplace semilinear heat equation with forcing term on the Heisenberg group
Priyank Oza, Durvudkhan Suragan
In this paper, we study the semilinear heat equation with a forcing term, driven by the fractional sub-Laplacian (-Δ_{\mathbbm{H}^N})^s of order on the Heisenberg gro…