Sharp counterexamples in unique continuation for second order elliptic equations
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Publication:2769335
DOI10.1515/crll.2002.003zbMath1222.35050OpenAlexW1971644087WikidataQ124962780 ScholiaQ124962780MaRDI QIDQ2769335
Publication date: 5 February 2002
Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/461ec923bc7b8de6258cb60e331f9dc76f600ac0
Related Items (25)
On quantitative uniqueness for elliptic equations ⋮ Carleman estimates for elliptic operators with complex coefficients. II: Transmission problems ⋮ Quantitative uniqueness of solutions to second order elliptic equations with singular potentials in two dimensions ⋮ Spectral inequality and resolvent estimate for the bi-Laplace operator ⋮ Carleman estimates and absence of embedded eigenvalues ⋮ Quantum systems at the brink: existence of bound states, critical potentials, and dimensionality ⋮ Carleman inequalities and unique continuation for the polyharmonic operators ⋮ The Scattering Resonances for Schrödinger-Type Operators with Unbounded Potentials ⋮ Carleman estimates for elliptic operators with complex coefficients. I: Boundary value problems ⋮ A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations ⋮ Zero-energy bound state decay for non-local Schrödinger operators ⋮ Coupling of symmetric operators and the third Green identity ⋮ The unique continuation property for a nonlinear equation on trees ⋮ Schrödinger operators and unique continuation. Towards an optimal result ⋮ On unique continuation for Schrödinger operators of fractional and higher orders ⋮ Unique continuation for fractional Schrödinger operators in three and higher dimensions ⋮ Unique continuation for sublinear elliptic equations based on Carleman estimates ⋮ Uniqueness in the Calderón problem and bilinear restriction estimates ⋮ On spectral stability of the nonlinear Dirac equation ⋮ Eigenvalue bounds and spectral stability of Lamé operators with complex potentials ⋮ Quasimode, eigenfunction and spectral projection bounds for Schrödinger operators on manifolds with critically singular potentials ⋮ Uniform Sobolev estimates in \(\mathbb{R}^n\) involving singular potentials ⋮ Potentials for non-local Schrödinger operators with zero eigenvalues ⋮ On minimal support properties of solutions of Schrödinger equations ⋮ Stabilization of the damped plate equation under general boundary conditions
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