In this paper we provide a simple proof of a Carleman estimate for a second- order elliptic operator P with Lipschitz leading coefficients. We apply such a Carleman estimate to derive a three-sphere inequality for solutions to equation P u = 0.
A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality / Baldassari Lorenzo; Vessella Sergio. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - STAMPA. - 26:(2018), pp. 411-422. [10.1515/jiip-2017-0105]
A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality
BALDASSARI, LORENZO;Vessella Sergio
2018
Abstract
In this paper we provide a simple proof of a Carleman estimate for a second- order elliptic operator P with Lipschitz leading coefficients. We apply such a Carleman estimate to derive a three-sphere inequality for solutions to equation P u = 0.
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