Vancostenoble J, Zuazua E (2008)
Publication Type: Journal article
Publication year: 2008
Book Volume: 254
Pages Range: 1864-1902
Journal Issue: 7
DOI: 10.1016/j.jfa.2007.12.015
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.
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://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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