A result on strong unique continuation for the laplace operator
From MaRDI portal
Publication:4365387
DOI10.1080/03605309708821308zbMath0939.35049OpenAlexW2027450194MaRDI QIDQ4365387
Publication date: 5 July 2000
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03605309708821308
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Continuation and prolongation of solutions to PDEs (35B60)
Related Items (9)
Strong unique continuation property of two-dimensional Dirac equations with Aharonov-Bohm fields. ⋮ Carleman estimates for Baouendi–Grushin operators with applications to quantitative uniqueness and strong unique continuation ⋮ Strong unique continuation property for some second order elliptic systems ⋮ Unique continuation for systems with Lamé principal part ⋮ A uniqueness result for harmonic functions ⋮ A Result on Strong Uniqueness in Gevrey Spaces for Some Elliptic Operators ⋮ A Counterexample to strong uniqueness for all powers of the laplace operator ⋮ Strong unique continuation for 𝑚-th powers of a Laplacian operator with singular coefficients ⋮ Some remarks on strong unique continuation for the laplace operator and its powers
Cites Work
- A unique continuation theorem for exterior differential forms on Riemannian manifolds
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Uniqueness theorems for second order elliptic differential equations
- Uniqueness for the Characteristic Cauchy Problem and Strong Unique Continuation for Higher Order Partial Differential Inequalities
- Resultats d'unicite forte pour des operateurs elliptiques a coefficients gevrey
- A Counterexample to Strong Uniqueness for Partial Differential Equations of Schrödinger's Type
This page was built for publication: A result on strong unique continuation for the laplace operator
