21 citations · 79 across the 62 of their papers we have counts for
66 papers
Exact -growth profiles for the free wave equation: Sharp constants, critical regularity, and local energy decay
Vishvesh Kumar, Mohamed Majdoub
We study the large-time behavior of the -norm of solutions to the free wave equation on and, more generally, their homogeneous Sobolev norms of negative order.…
Sharp Time-Decay Estimates for Fractional Heat Semigroups Associated with Polynomial Anharmonic Oscillators
Julio Delgado, Vishvesh Kumar, Shyam Swarup Mondal
We investigate fractional heat semigroups generated by a class of anharmonic oscillators on of the form where and…
Fujita-type blow-up for inhomogeneous semilinear heat equations with regularly varying forcing
Vishvesh Kumar, Mohamed Majdoub
We develop a unified framework for Fujita-type blow-up of solutions to the inhomogeneous semilinear heat equation $$\partial_tu-Δu=|u|^p+\mathbf{w}(x), \qquad (t,x)\in(0,\infty)\ti…
A positive ground state for a planar Choquard equation with mixed diffusion and critical exponential growth
Shaoxiong Chen, Sekhar Ghosh, Vishvesh Kumar +1
We study a two-dimensional Choquard equation driven by the mixed local and nonlocal operator , where the nonlinearity has critical exponential growth of Trudinger--Mo…
Mixed local-nonlocal quasilinear problems with mixed interpolated Hardy potential
Yergen Aikyn, Sekhar Ghosh, Vishvesh Kumar +1
This paper addresses the existence of nontrivial solutions to a class of mixed local-nonlocal problems involving a mixed interpolated Hardy potential. We first establish a concentr…
Harnack inequality for superposition operators of mixed fractional order
Souvik Bhowmick, Sekhar Ghosh, Vishvesh Kumar +1
The main aim of this paper is to establish the Hölder continuity and the Harnack inequality for weak solutions to Dirichlet problems associated with superposition operators of mixe…