On a unique continuation for Aharonov-Bohm magnetic Schrödinger equation

DOI10.1515/forum-2016-0161zbMath1379.35045OpenAlexW2605491147MaRDI QIDQ1683668

Mohammed El Aïdi

Publication date: 1 December 2017

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/forum-2016-0161

zbMATH Keywords

unique continuationAharonov-Bohm potentialCarleman-type inequality

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Schrödinger operator, Schrödinger equation (35J10) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (1)

On the decay at infinity of solutions of fractional Schrödinger equations

Cites Work

• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• L²-lower bounds to solutions of one-body Schrödinger equations
• ON THE POSSIBLE RATE OF DECAY AT INFINITY OF SOLUTIONS OF SECOND ORDER PARTIAL DIFFERENTIAL EQUATIONS
• Unique continuation at infinity of solutions to Schrödinger equations with complex-valued potentials
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