A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality
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Lorenzo Baldassari
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
Funding statement: Sergio Vessella was partially supported by Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA) of the Istituto Nazionale di Alta Matematica (INdAM).
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Articles in the same Issue
- Frontmatter
- Error estimates for the simplified iteratively regularized Gauss–Newton method in Banach spaces under a Morozov-type stopping rule
- An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic
- Lipschitz continuity of the Fréchet gradient in an inverse coefficient problem for a parabolic equation with Dirichlet measured output
- On finding a cavity in a thermoelastic body using a single displacement measurement over a finite time interval on the surface of the body
- On dynamical reconstruction of an input in a linear system under measuring a part of coordinates
- A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality
- Information content in data sets: A review of methods for interrogation and model comparison
- An inverse problem in corrosion detection: Stability estimates
