Null controllability for the heat equation with singular inverse-square potentials

Vancostenoble J, Zuazua E (2008)

Publication Type: Journal article

Publication year: 2008

Journal

Journal of Functional Analysis Elsevier

Book Volume: 254

Pages Range: 1864-1902

Journal Issue: 7

DOI: 10.1016/j.jfa.2007.12.015

Abstract

We prove the null controllability of the heat equation perturbed by a singular inverse-square potential arising in quantum mechanics and combustion theory. This is done within the range of subcritical coefficients of the singular potential, provided the control acts on an annular set around the singularity. Our proof uses a splitting argument on the domain, decomposition in spherical harmonics, new Carleman inequalities and refined Hardy inequalities. (c) 2008 Elsevier Inc. All rights reserved.

Authors with CRIS profile

Enrique Zuazua Iriondo

Involved external institutions

Université Toulouse III - Paul Sabatier FR France (FR) Universidad Autónoma de Madrid (UAM) ES Spain (ES)

How to cite

APA:

Vancostenoble, J., & Zuazua, E. (2008). Null controllability for the heat equation with singular inverse-square potentials. Journal of Functional Analysis, 254(7), 1864-1902. https://dx.doi.org/10.1016/j.jfa.2007.12.015

MLA:

Vancostenoble, J., and Enrique Zuazua. "Null controllability for the heat equation with singular inverse-square potentials." Journal of Functional Analysis 254.7 (2008): 1864-1902.

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