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math.AP2022
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…
math.AP2022
A Poincaré determinant on the torus
Julio Delgado
In this work we introduce a Poincaré determinant type for operators on the torus $\To^n$. As an application we establish the existence of nontrivial solutions for elliptic equation…
math.AP2022
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…