6 citations · 23 across the 42 of their papers we have counts for
7 papers · 1 filter
Classical inequalities for all Fourier matrix coefficients of and their applications
Vishvesh Kumar, Tapendu Rana, Michael Ruzhansky
In this article, we establish three fundamental Fourier inequalities: the Hausdorff-Young inequality, the Paley inequality, and the Hausdorff-Young-Paley inequality for -ty…
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces: the critical case
Vishvesh Kumar, Shyam Swarup Mondal, Michael Ruzhansky +1
Let be a graded Lie group with homogeneous dimension . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…
Subelliptic Nonlocal Brezis-Nirenberg Problems on Stratified Lie Groups
Sekhar Ghosh, Vishvesh Kumar, Michael Ruzhansky
In this paper, we investigate the subelliptic nonlocal Brezis-Nirenberg problem on stratified Lie groups involving critical nonlinearities, namely, \begin{align*} (-Δ_{\mathbb{G},…
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces
Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1
Let be a graded Lie group with homogeneous dimension . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…
Pseudo-differential operators on Homogeneous vector bundles over compact homogeneous manifolds
Duván Cardona, Vishvesh Kumar, Michael Ruzhansky
In this work, we introduce a global theory of subelliptic pseudo-differential operators on arbitrary homogeneous vector bundles over orientable compact homogeneous manifolds. We wi…
Anharmonic semigroups and applications to global well-posedness of nonlinear heat equations
Duván Cardona, Marianna Chatzakou, Julio Delgado +2
In this work we consider the semigroup for associated to an anharmonic oscillator of the form …