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20142024
most citedSharp geometric condition for null-controllability of the heat equation on and consistent estimates on the control cost

52 citations · 102 across the 13 of their papers we have counts for

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math.AP2020★ 22 cited

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…

math.AP2019

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…

math.AP2019★ 8 cited

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…

math.AP2018

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…

math.AP2018

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…

math.AP2017★ 52 cited

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…