Unique continuation at infinity of solutions to Schrödinger equations with complex-valued potentials

DOI10.1017/S0013091500020071zbMath0941.35016MaRDI QIDQ4267550

Jaime Cruz-Sampedro

Publication date: 29 November 1999

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

zbMATH Keywords

Schrödinger equationcomplex-valued potentialCarleman-like estimates

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (14)

Landis-type conjecture for the half-Laplacian ⋮ Sharp exponential decay for solutions of the stationary perturbed Dirac equation ⋮ Gaussian decay of harmonic oscillators and related models ⋮ On a unique continuation for Aharonov-Bohm magnetic Schrödinger equation ⋮ Unique continuation for Schrödinger evolutions, with applications to profiles of concentration and traveling waves ⋮ Unnamed Item ⋮ Uniqueness properties of solutions to Schrödinger equations ⋮ Quantitative uniqueness estimates for the general second order elliptic equations ⋮ Observability and unique continuation inequalities for the Schrödinger equation ⋮ On the decay at infinity of solutions of fractional Schrödinger equations ⋮ Decay rates at infinity for solutions to periodic Schrödinger equations ⋮ On the fractional Landis conjecture ⋮ Sharp Hardy uncertainty principle and gaussian profiles of covariant Schrödinger evolutions ⋮ Some Quantitative Unique Continuation Results for Eigenfunctions of the Magnetic Schrödinger Operator

Cites Work

• Unnamed Item
• Unnamed Item
• Exponential lower bounds to solutions of the Schrödinger equation: lower bounds for the spherical average
• \(L^2\)-exponential lower bounds to solutions of the Schrödinger equation
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. IV
• Pointwise bounds on eigenfunctions and wave packets in N-body quantum systems. V: Lower bounds and path integrals
• Schrödinger semigroups
• L²-lower bounds to solutions of one-body Schrödinger equations

This page was built for publication: Unique continuation at infinity of solutions to Schrödinger equations with complex-valued potentials