Notice of Retraction: “Growth property at infinity of the maximum modulus with respect to the Schrödinger operator”

2020 ◽  
Vol 31 (09) ◽  
pp. 2093002
Author(s):  
Jinjin Huang
Keyword(s):  
Schrödinger Operator ◽  
Maximum Modulus ◽  
Schrodinger Operator ◽  
Growth Property

Growth property at infinity of the maximum modulus with respect to the Schrödinger operator

2016 ◽  
Vol 27 (02) ◽  
pp. 1650009 ◽  
Author(s):  
Jinjin Huang
Keyword(s):  
Schrödinger Operator ◽  
Maximum Modulus ◽  
Schrodinger Operator ◽  
Growth Property

In this paper, we consider the growth property at infinity of the maximum modulus with respect to the Schrödinger operator in a cone, which supplement Phragmén–Lindelöf theorems for subfunctions obtained by Qiao and Pan (Generalization of the Phragmén–Lindelöf theorems for subfunctions, Internat. J. Math. 24 (2013) Article ID: 1350062).

scholarly journals Applications of maximum modulus method and Phragmén–Lindelöf method for second-order boundary value problems with respect to the Schrödinger operator

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Zhen Liu
Keyword(s):  
Boundary Value Problem ◽  
Boundary Value Problems ◽  
Schrödinger Operator ◽  
Boundary Value ◽  
Maximum Modulus ◽  
Second Order ◽  
Schrodinger Operator ◽  
Uniqueness Of The Solution ◽  
Modulus Method

Abstract In this paper, we present a reliable combination of the maximum modulus method with respect to the Schrödinger operator (Meng in J. Syst. Sci. Complex. 16:446–452, 2003) and Phragmén–Lindelöf method (Shehu in Matematiche 64:57–66, 2015) to investigate the solution of a second-order boundary value problem with respect to the Schrödinger operator. We establish the uniqueness of the solution for this problem. The results reveal that this method is effective and simple.

scholarly journals On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type

2020 ◽  
pp. 168385
Author(s):  
Wellisson B. De Lima ◽  
Oswaldo M. Del Cima ◽  
Daniel H.T. Franco ◽  
Bruno C. Neves
Keyword(s):  
Schrödinger Operator ◽  
Attractive Potential ◽  
Two Dimensional ◽  
Schrodinger Operator
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