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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…
math.AP2018
On a class of anharmonic oscillators
Marianna Chatzakou, Julio Delgado, Michael Ruzhansky
In this work we study a class of anharmonic oscillators within the framework of the Weyl-Hörmander calculus. The anharmonic oscillators arise from several applications in mathemati…