Note on Counterexamples in Strong Unique Continuation Problems

DOI10.2307/2159654zbMath0744.35012OpenAlexW4248412440WikidataQ124936266 ScholiaQ124936266MaRDI QIDQ3987556

Thomas H. Wolff

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159654

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Second-order elliptic equations (35J15) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

On quantitative uniqueness for elliptic equations, Strict monotonicity and unique continuation for general non-local eigenvalue problems, Unique continuation properties for generalized Baouendi-Grushin operators with singular weights, The unique continuation property for a nonlinear equation on trees, Carleman Inequalities for the Dirac Operator and Strong Unique Continuation, Unique continuation for sublinear elliptic equations based on Carleman estimates, Quantitative uniqueness of solutions to second-order elliptic equations with singular lower order terms, Some constructions with solutions of variable coefficient elliptic equations, Recent work on sharp estimates in second-order elliptic unique continuation problems

Cites Work

• Weighted Sobolev inequalities and unique continuation for the Laplacian plus lower order terms
• 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
• Unique continuation for \(|\Delta u| \leq V|\nabla u|\) and related problems
• Strong Uniqueness Theorems for Second Order Elliptic Differential Equations
• Unique Continuation for Δ+ υ and the C. Fefferman-Phong Class