scholarly journals Observability and unique continuation inequalities for the Schrödinger equation

2019 ◽  
Vol 21 (11) ◽  
pp. 3513-3572
Author(s):  
Gengsheng Wang ◽  
Ming Wang ◽  
Yubiao Zhang
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Unique Continuation

scholarly journals Unique continuation for the magnetic Schrödinger equation

2020 ◽  
Vol 120 (8) ◽  
Author(s):  
Andre Laestadius ◽  
Michael Benedicks ◽  
Markus Penz
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Unique Continuation

On a unique continuation for Aharonov–Bohm magnetic Schrödinger equation

2017 ◽  
Vol 29 (6) ◽  
Author(s):  
Mohammed El Aïdi
Keyword(s):  
Schrödinger Equation ◽  
Schrodinger Equation ◽  
Unique Continuation ◽  
Compact Set ◽  
Two Dimensional ◽  
Aharonov Bohm

AbstractWe furnish a unique continuation for a suitable two-dimensional magnetic Schrödinger equation defined on the complement of a compact set.

scholarly journals On a counterexample of Garofalo - Lin for a unique continuation of Schrödinger equation

1991 ◽  
Vol 4 (3) ◽  
pp. 259-261
Author(s):  
Will Y. Lee
Keyword(s):  
Schrödinger Equation ◽  
Bessel Function ◽  
Schrodinger Equation ◽  
Unique Continuation ◽  
The Third

Garofalo and Lin have given a counterexample for which unique continuation fails for the Schrödinger equation −Δu+c|x|2+ϵu=0, ϵ>0.Their counterexample consists of a Bessel function of the third kind Kv(|x|) with the restriction that v cannot be an integer. In this note we have removed the restriction.

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