2 citations · 6 across the 27 of their papers we have counts for
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Quasilinear equations with exponential growth for Hörmander -sub-Laplacians on stratified Lie groups
Jesus A. León Tordecilla, Duván Cardona
We prove the existence of positive weak solutions for a quasilinear equation with exponential nonlinearity on arbitrary stratified Lie groups for \emph{horizontal -Laplacians,}…
Kernel estimates and weak (1,1)-boundedness of pseudo-differential operators on compact Lie groups
Duván Cardona, Rafik Yeghoyan, Michael Ruzhansky
Given a compact Lie group and its unitary dual , we establish the weak (1,1) continuity for pseudo-differential operators in the global Hörmander classes of order…
Hyperbolic partial differential equations with complex characteristics on Fourier Lebesgue spaces
Duván Cardona, William Obeng-Denteh, Frederick Opoku
The aim of this paper is to establish well-posedness properties for hyperbolic PDEs on Fourier Lebesgue spaces. We consider hyperbolic operators with complex characteristics. Since…
Local smoothing estimates for bilinear Fourier integral operators
Duván Cardona
We formulate a local smoothing conjecture for bilinear Fourier integral operators in every dimension derived from the celebrated linear case due to Sogge, which we refer…
Boundedness of Fourier Integral Operators with complex phases on Fourier Lebesgue spaces
Duván Cardona, William Obeng-Denteh, Frederick Opoku
In this paper, we develop boundedness estimates for Fourier integral operators on Fourier Lebesgue spaces when the associated canonical relation is parametrised by a complex phase…
Estimates for pseudo-differential operators on the torus revisited. III
Duván Cardona, Manuel Alejandro Martínez
This paper finishes the goal of the authors started in two previous manuscripts dedicated to revisiting the continuity properties of toroidal pseudo-differential operators with sym…