An optimal spectral inequality for degenerate operators

2023/09/27 by Rémi Buffe, Buffe, Rémi, Kim Dang Phung +3
Engineering · Mathematics · Computer Science · #Stability and Controllability of Differential Equations #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering

paper · pdf · doi:10.48550/arxiv.2309.15491

Abstract

In this paper we establish a Lebeau-Robbiano spectral inequality for a degenerate one dimensional elliptic operator. Carleman techniques and moment method are combined. Application to null controllability on a measurable set in time for the degenerated heat equation is described.

Citations

• Unique continuation and approximate controllability for a degenerate parabolic equation

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