Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
From MaRDI portal
Publication:3361204
DOI10.2307/2374732zbMath0734.35012OpenAlexW2333146474MaRDI QIDQ3361204
Publication date: 1990
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2374732
Partial differential inequalities and systems of partial differential inequalities (35R45) Second-order elliptic equations (35J15) Continuation and prolongation of solutions to PDEs (35B60)
Related Items
Doubling Property and Vanishing Order of Steklov Eigenfunctions, On quantitative uniqueness for elliptic equations, \(L^p\) eigenfunction bounds for the Hermite operator, Carleman Estimates and Unique Continuation for Second Order Parabolic Equations with Nonsmooth Coefficients, Carleman estimates and unique continuation for second-order elliptic equations with nonsmooth coefficients, Weighted gradient inequalities and unique continuation problems, On unique continuation for the generalized Schrödinger equations, Sobolev Estimates for the Wave Operator on compact Manifolds, Variable-coefficient parabolic theory as a high-dimensional limit of elliptic theory, A unique continuation theorem for the Schrödinger equation with singular magnetic field, Critical sets of eigenfunctions of the Laplacian, Quantitative uniqueness for second-order elliptic operators, Weighted doubling properties and unique continuation theorems for the degenerate Schrödinger equations with singular potentials, Unique continuation properties of the higher order nonlinear Schrödinger equations in one dimension, On the strong unique continuation of electromagnetic Schrödinger equations with random coefficients, Quantitative unique continuation of solutions to higher order elliptic equations with singular coefficients, A property of measures in \(\mathbb{R}{}^ N\) and an application to unique continuation, Determining an Unbounded Potential from Cauchy Data in Admissible Geometries, Carleman Estimates for the Schrödinger Operator. Applications to Quantitative Uniqueness, Note on Counterexamples in Strong Unique Continuation Problems, Resolvent estimates for the Lamé operator and failure of Carleman estimates, Carleman estimates with sharp weights and boundary observability for wave operators with critically singular potentials, Two-parameter estimates for joint spectral projections on complex spheres, Schrödinger operators on manifolds, essential self-adjointness, and absence of eigenvalues, Book review of: N. Lerner, Carleman inequalities. An introduction and more, Integral Equation Methods for Electrostatics, Acoustics, and Electromagnetics in Smoothly Varying, Anisotropic Media, Carleman inequalities and the heat operator, Unique continuation through transversal characteristic hypersurfaces, Unique continuation for the magnetic Schrödinger operator with singular potentials, Recent work on sharp estimates in second-order elliptic unique continuation problems, A unique continuation theorem for uniformly elliptic equations with strongly singular potentials