Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4592813 | Journal of Functional Analysis | 2008 | 39 Pages |
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.
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Physical Sciences and Engineering
Mathematics
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