Carleman Inequalities for the Dirac Operator and Strong Unique Continuation

DOI10.2307/2160945zbMath0876.35027OpenAlexW4247475732MaRDI QIDQ4845933

Yonne Mi Kim

Publication date: 21 August 1995

Full work available at URL: https://doi.org/10.2307/2160945

zbMATH Keywords

Dirac operatorCarleman inequality

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Carleman estimates and boundedness of associated multiplier operators ⋮ Ground state Dirac bubbles and Killing spinors ⋮ Some properties of Dirac-Einstein bubbles

Cites Work

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• Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
• Carleman inequalities for the Dirac and Laplace operators and unique continuation
• Oscillatory integrals and spherical harmonics
• Uniqueness theorems for second order elliptic differential equations
• Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
• Note on Counterexamples in Strong Unique Continuation Problems
• A restriction theorem for the Fourier transform