2 citations · 9 across the 46 of their papers we have counts for
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Global pseudo-differential operators on the Lie group
Duván Cardona, Roland Duduchava, Arne Hendrickx +1
In this work we characterise the Hörmander classes $\symbClassOn{m}ρδ{\group,\textnormal{Hör}}$ on the open manifold $\group = (-1,1)^n$. We show that by endowing the open manifold…
Estimates for sums of eigenfunctions of elliptic pseudo-differential operators on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
We extend the estimates proved by Donnelly and Fefferman and by Lebeau and Robbiano for sums of eigenfunctions of the Laplacian (on a compact manifold) to estimates for sums of eig…
Spectral inequalities for elliptic pseudo-differential operators on closed manifolds
Duván Cardona
Let be a closed Riemannian manifold. The aim of this work is to prove the Lebeau-Robbiano spectral inequality for a positive elliptic pseudo-differential operator …
Drift diffusion equations with fractional diffusion on compact Lie groups
Duván Cardona, Julio Delgado, Michael Ruzhansky
In this work we investigate the well-posedness for difussion equations associated to subelliptic pseudo-differential operators on compact Lie groups. The diffusion by strongly elli…