A Result on Strong Uniqueness in Gevrey Spaces for Some Elliptic Operators

DOI10.1081/PDE-200044435zbMath1113.35042OpenAlexW1992930895MaRDI QIDQ4678913

Ferruccio Colombini, Cataldo Grammatico

Publication date: 23 May 2005

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/pde-200044435

zbMATH Keywords

Carleman estimatesGevrey spacesStrong unique continuation property

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Higher-order elliptic equations (35J30)

Related Items

Strong unique continuation for higher order elliptic equations with Gevrey coefficients, Strong unique continuation for a residual stress system with Gevrey coefficients, Strong unique continuation for products of elliptic operators of second order

Cites Work

• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Strong uniqueness for second order differential operators
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• Uniqueness theorems for second order elliptic differential equations
• Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
• Resultats d'unicite forte pour des operateurs elliptiques a coefficients gevrey
• Unique continuation for schrodinger operators with singular potentials
• Some remarks on strong unique continuation for the laplace operator and its powers
• A result on strong unique continuation for the laplace operator