A straightforward proof of Carleman estimate for second-order elliptic operator and a three-sphere inequality

DOI10.1515/jiip-2017-0105zbMath1391.35406arXiv1711.06647OpenAlexW2963003182MaRDI QIDQ1637472

Lorenzo Baldassari, Sergio Vessella

Publication date: 8 June 2018

Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1711.06647

zbMATH Keywords

elliptic equationsCarleman estimatepropagation of smallness

Mathematics Subject Classification ID

Ill-posed problems for PDEs (35R25) A priori estimates in context of PDEs (35B45) Second-order elliptic equations (35J15)

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Cites Work

• Sharp three sphere inequality for perturbations of a product of two second order elliptic operators and stability for the Cauchy problem for the anisotropic plate equation
• Unique continuation for a class of elliptic operators which degenerate on a manifold of arbitrary codimension
• Carleman estimates for coefficient inverse problems and numerical applications.
• Absence of positive eigenvalues for a class of subelliptic operators
• Direct Methods in the Theory of Elliptic Equations
• The stability for the Cauchy problem for elliptic equations
• Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
• Inverse problems for partial differential equations
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