8 citations · 26 across the 11 of their papers we have counts for
13 papers
Bisingular pseudodifferential operators on products of compact Lie groups
G. Drei, S. Federico, A. Parmeggiani
In this paper we develop the calculus of bisingular pseudodifferential operators on the product compact Lie groups, which extends the one that was earlier introduced by the…
Weyl Calculus on Graded Groups
Serena Federico, David Rottensteiner, Michael Ruzhansky
The aim of this paper is to establish a pseudo-differential Weyl calculus on graded nilpotent Lie groups which extends the celebrated Weyl calculus on . To reach…
Poincaré inequalities on Carnot Groups and spectral gap of Schrödinger operators
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this work we give a sufficient condition under which the global Poincaré inequality on Carnot groups holds true for a large family of probability measures absolutely continuous…
On the uniqueness of variable coefficient Schrödinger equations
Serena Federico, Zongyuan Li, Xueying Yu
We prove unique continuation properties for linear variable coefficient Schrödinger equations with bounded real potentials. Under certain smallness conditions on the leading coeffi…
Subelliptic sharp Gårding inequality on compact Lie groups
Duván Cardona, Serena Federico, Michael Ruzhansky
In this work we establish a subelliptic sharp Gårding inequality on compact Lie groups for pseudo-differential operators with symbols belonging to global subelliptic Hörmander clas…
On a class of pseudodifferential operators on the product of compact Lie groups
Serena Federico, Alberto Parmeggiani
In this paper a bisingular pseudodifferential calculus, along the lines of the one introduced by L. Rodino in [12], is developed in the global setting of a product of compact Lie g…
Sharp Strichartz estimates for some variable coefficient Schrödinger operators on
Serena Federico, Gigliola Staffilani
In the first part of the paper we continue the study of solutions to Schrödinger equations with a time singularity in the dispersive relation and in the periodic setting. In the se…
-Poincaré inequalities on Carnot Groups with filiform type Lie algebra
Marianna Chatzakou, Serena Federico, Boguslaw Zegarlinski
In this paper, we prove (global) -Poincaré inequalities for probability measures on nilpotent Lie groups with filiform Lie algebra of any length. The probability measures under…
Smoothing and Strichartz estimates for degenerate Schrödinger-type equations
Serena Federico, Michael Ruzhansky
In this paper we focus on the validity of some fundamental estimates for time-degenerate Schrödinger-type operators. On one hand we derive global homogeneous smoothing estimates fo…
Smoothing effect for time-degenerate Schrödinger operators
Serena Federico, Gigliola Staffilani
In this work we consider an example of a linear time-degenerate Schrödinger operator. We show that with the appropriate assumptions the operator satisfies a Kato smoothing effect.…
On the Local solvability of a class of degenerate second order operators with complex coefficients
Serena Federico, Alberto Parmeggiani
We study the local solvability of a class of operators with multiple characteristics. The class considered here complements and extends the one studied in [9], in that in this pape…
Sufficient conditions for local solvability of some degenerate PDO with complex subprincipal symbol
Serena Federico
We will show a local solvability result for a class of degenerate second order linear partial differential operators with a complex subprincipal symbol. Due to the form of the oper…
Local solvability of a class of degenerate second order operators
Serena Federico
In this paper we will first present some results about the local solvability property of a class of degenerate second order linear partial differential operators with smooth coeffi…