Recent work on sharp estimates in second-order elliptic unique continuation problems
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Publication:1315480
DOI10.1007/BF02921325zbMath0787.35017MaRDI QIDQ1315480
Publication date: 27 March 1994
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
differential inequalitiescounterexamplesexpository articleunique continuation propertyCarleman inequalitiessecond order elliptic equationstrong unique continuation property
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Cites Work
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- Unique continuation for Schrödinger operators in dimension three or less
- 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
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- Nodal sets of eigenfunctions on Riemannian manifolds
- Embedding compact three-dimensional CR manifolds of finite type in \({\mathbb{C}}^ n\)
- Unique continuation for Schrödinger operators with unbounded potentials
- Unique continuation for \(|\Delta u| \leq V|\nabla u|\) and related problems
- Unique continuation for the solutions of the Laplacian plus a drift
- A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation
- Some constructions with solutions of variable coefficient elliptic equations
- Oscillatory integrals and multipliers on FL\(^p\)
- Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
- Note on Counterexamples in Strong Unique Continuation Problems
