Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator

Behrouz Emamizadeh; Ryan I. Fernandes

Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator

Research output: Journal Publication › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper we consider two optimization problems related to the principal eigenvalue of the one dimensional Schrödinger operator. These optimization problems are formulated relative to the rearrangement of a fixed function. We show that both problems have unique solutions, and each of these solutions is a fixed point of an appropriate function.

Original language	English
Pages (from-to)	1-11
Number of pages	11
Journal	Electronic Journal of Differential Equations
Volume	2008
Publication status	Published - 28 Apr 2008
Externally published	Yes

Keywords

Fixed points
Minimization; maximization
Principal eigenvalue
Rearrangements of functions
Schrödinger equation

ASJC Scopus subject areas

Analysis

Cite this

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title = "Optimization of the principal eigenvalue of the one-dimensional Schr{\"o}dinger operator",

abstract = "In this paper we consider two optimization problems related to the principal eigenvalue of the one dimensional Schr{\"o}dinger operator. These optimization problems are formulated relative to the rearrangement of a fixed function. We show that both problems have unique solutions, and each of these solutions is a fixed point of an appropriate function.",

keywords = "Fixed points, Minimization; maximization, Principal eigenvalue, Rearrangements of functions, Schr{\"o}dinger equation",

author = "Behrouz Emamizadeh and Fernandes, {Ryan I.}",

year = "2008",

month = apr,

day = "28",

language = "English",

volume = "2008",

pages = "1--11",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator

AU - Emamizadeh, Behrouz

AU - Fernandes, Ryan I.

PY - 2008/4/28

Y1 - 2008/4/28

N2 - In this paper we consider two optimization problems related to the principal eigenvalue of the one dimensional Schrödinger operator. These optimization problems are formulated relative to the rearrangement of a fixed function. We show that both problems have unique solutions, and each of these solutions is a fixed point of an appropriate function.

AB - In this paper we consider two optimization problems related to the principal eigenvalue of the one dimensional Schrödinger operator. These optimization problems are formulated relative to the rearrangement of a fixed function. We show that both problems have unique solutions, and each of these solutions is a fixed point of an appropriate function.

KW - Fixed points

KW - Minimization; maximization

KW - Principal eigenvalue

KW - Rearrangements of functions

KW - Schrödinger equation

UR - http://www.scopus.com/inward/record.url?scp=44349154119&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:44349154119

SN - 1072-6691

VL - 2008

SP - 1

EP - 11

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Optimization of the principal eigenvalue of the one-dimensional Schrödinger operator

Abstract

Keywords

ASJC Scopus subject areas

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