52 citations · 102 across the 13 of their papers we have counts for
14 papers
A quantitative closing Lemma and Partner orbits on Riemannian manifolds with negative curvature
Michela Egidi, Gerhard Knieper
In this paper we prove a quantitative closing Lemma for manifolds of negative sectional curvature. As an application we study partner and pseudo-partner orbits for self-crossing cl…
Sturm-Liouville Problems And Global Bounds By Small Control Sets And applications to quantum graphs
Michela Egidi, Delio Mugnolo, Albrecht Seelmann
We develop a Logvinenko--Sereda theory for one-dimensional vector-valued self-adjoint operators. We thus deliver upper bounds on -norms of eigenfunctions -- and linear combina…
Eigenvalue estimates for the magnetic Hodge Laplacian on differential forms
Michela Egidi, Katie Gittins, Georges Habib +1
In this paper we introduce the magnetic Hodge Laplacian, which is a generalization of the magnetic Laplacian on functions to differential forms. We consider various spectral result…
Sufficient criteria for stabilization properties in Banach spaces
Michela Egidi, Dennis Gallaun, Christian Seifert +1
We study abstract sufficient criteria for open-loop stabilizability of linear control systems in a Banach space with a bounded control operator, which build up and generalize a suf…
An abstract Logvinenko-Sereda type theorem for spectral subspaces
Michela Egidi, Albrecht Seelmann
We provide an abstract framework for a Logvinenko-Sereda type theorem, where the classical compactness assumption on the support of the Fourier transform is replaced by the assumpt…
Geometric conditions for the null-controllability of hypoelliptic quadratic parabolic equations with moving control supports
Karine Beauchard, Michela Egidi, Karel Pravda-Starov
We study the null-controllability of some hypoelliptic quadratic parabolic equations posed on the whole Euclidean space with moving control supports, and provide necessary or suffi…
The reflection principle in the control problem of the heat equation
Michela Egidi, Albrecht Seelmann
We consider the control problem for the generalized heat equation for a Schroedinger operator on a domain with a reflection symmetry with respect to a hyperplane. We show that if t…
Null-controllability and control cost estimates for the heat equation on unbounded and large bounded domains
Michela Egidi, Ivica Nakić, Albrecht Seelmann +3
We survey recent results on the control problem for the heat equation on unbounded and large bounded domains. First we formulate new uncertainty relations, respectively spectral in…
On null-controllability of the heat equation on infinite strips and control cost estimate
Michela Egidi
We consider an infinite strip , , , and study the control problem of the heat equation on with Dirichlet or Neumann boundary…
Sharp geometric condition for null-controllability of the heat equation on and consistent estimates on the control cost
Michela Egidi, Ivan Veselic
In this note we study the control problem for the heat equation on , , with control set . We provide a necessary and sufficient conditi…
Scale-free unique continuation estimates and Logvinenko-Sereda Theorems on the torus
Michela Egidi, Ivan Veselic
We study uncertainty principles for function classes on the torus. The classes are defined in terms of spectral subspaces of the energy or the momentum, respectively. In our main t…
Ricci curvature and eigenvalue estimates for the magnetic Laplacian on manifolds
Michela Egidi, Shiping Liu, Florentin Münch +1
In this paper, we present a Lichnerowicz type estimate and (higher order) Buser type estimates for the magnetic Laplacian on a closed Riemannian manifold with a magnetic potential.…
Asymptotic behaviour of the Hodge Laplacian spectrum on graph-like manifolds
Michela Egidi, Olaf Post
We consider a family of compact, oriented and connected Riemannian manifolds shrinking to a metric graph and describe the asymptotic behaviour of the eigenvalues of the Hodge Lapla…
Pestov's Identity on frame bundles and applications
Michela Egidi
In this article we lift Pestov's Identity on the tangent bundle of a Riemannian manifold to the bundle of -tuples of tangent vectors. We also derive an integrated version an…