Biccari U, Zuazua E (2016)
Publication Type: Journal article
Publication year: 2016
Book Volume: 261
Pages Range: 2809-2853
Journal Issue: 5
DOI: 10.1016/j.jde.2016.05.019
This article is devoted to the analysis of control properties for a heat equation with a singular potential μ/δ2, defined on a bounded C2 domain Ω⊂RN, where δ is the distance to the boundary function. More precisely, we show that for any μ≤1/4 the system is exactly null controllable using a distributed control located in any open subset of Ω, while for μ>1/4 there is no way of preventing the solutions of the equation from blowing-up. The result is obtained applying a new Carleman estimate.
APA:
Biccari, U., & Zuazua, E. (2016). Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function. Journal of Differential Equations, 261(5), 2809-2853. https://doi.org/10.1016/j.jde.2016.05.019
MLA:
Biccari, Umberto, and Enrique Zuazua. "Null controllability for a heat equation with a singular inverse-square potential involving the distance to the boundary function." Journal of Differential Equations 261.5 (2016): 2809-2853.
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