Carleman inequalities and unique continuation for higher-order elliptic differential operators

DOI10.1215/S0012-7094-94-07405-XzbMath0809.35018OpenAlexW1832078028MaRDI QIDQ1331690

Wensheng Wang

Publication date: 29 March 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-94-07405-x

zbMATH Keywords

unique continuationCarleman inequalities

Mathematics Subject Classification ID

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

Related Items (7)

Carleman inequalities and unique continuation for higher-order elliptic differential operators ⋮ Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients ⋮ On unique continuation for the generalized Schrödinger equations ⋮ Unique continuation properties of the higher order nonlinear Schrödinger equations in one dimension ⋮ Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations ⋮ Asymptotic behavior of the solutions of linear and quasilinear elliptic equations on $\mathbb {R}^{N}$ ⋮ Unique continuation for elliptic operators with non-multiple characteristics

Cites Work

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• Unique continuation for \(|\Delta u| \leq V|\nabla u|\) and related problems
• A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation
• Carleman inequalities and unique continuation for higher-order elliptic differential operators
• Uniqueness in the Cauchy Problem for Partial Differential Equations
• Uniqueness in Cauchy Problems for Hyperbolic Differential Operators
• Fourier transforms of surface-carried measures and differentiability of surface averages

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