A Note on Unique Continuation for Schrodinger's Operator

DOI10.2307/2047176zbMath0661.35056OpenAlexW4232416421MaRDI QIDQ3810244

Carlos E. Kenig, Christopher D. Sogge

Publication date: 1988

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2047176

zbMATH Keywords

unique continuationlower order termsSchrödinger's operatoruniform Sobolev inequalities

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Schrödinger operator, Schrödinger equation (35J10) Initial value problems for second-order hyperbolic equations (35L15) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (14)

Unique continuation properties for one dimensional higher order Schrödinger equations ⋮ Carleman estimates and boundedness of associated multiplier operators ⋮ Carleman estimates for the Schrödinger equation and applications to an inverse problem and an observability inequality ⋮ Carleman estimates for the Schrödinger operator and applications to unique continuation ⋮ Unique continuation for the Schrödinger equation with gradient term ⋮ A unique continuation theorem for second order parabolic differential operators ⋮ Global unique continuation from a half space for the Schrödinger equation ⋮ A note on unique continuation for the Schrödinger equation ⋮ Approximation theorems for the Schrödinger equation and quantum vortex reconnection ⋮ \(L^p\) Carleman inequalities and uniqueness of solutions of nonlinear Schrödinger equations ⋮ On unique continuation for nonlinear Schrödinger equations ⋮ Unique Continuation Theorems for some Parabolic Operators ⋮ 𝐿^{𝑝}→𝐿^{{}𝑝’} estimates for time-dependent Schrödinger operators ⋮ On the support of solutions to the generalized KdV equation

This page was built for publication: A Note on Unique Continuation for Schrodinger's Operator