Pré-Publication, Document De Travail Année : 2025

Null controllability of coupled parabolic equations with first-order perturbations

Résumé

Recently, in \cite{benabdallah2020block}, the block moment method was introduced to study null controllability problems in the case where a condensation of the eigenvalues is compensated by a condensation of the eigenfunctions. In this paper, as an application of the block moment method, we analyze the boundary null controllability of two coupled one-dimensional heat equations with first-order perturbation. We can prove that if the perturbations satisfy suitable conditions, the system is null controllable for $T>0$. Moreover, in the case of constant perturbation, the controllability result holds without these restrictions.

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Dates et versions

hal-04872795 , version 1 (08-01-2025)

Identifiants

  • HAL Id : hal-04872795 , version 1

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Hugo Parada, Franck Boyer. Null controllability of coupled parabolic equations with first-order perturbations. 2025. ⟨hal-04872795⟩
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