6 papers
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…
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…
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…