Universität zu Köln

Reyes, Carlos Andres and Sweers, Guido ORCID: 0000-0003-0180-5890 (2016). An asymptotic eigenvalue problem for a Schrodinger type equation on domains with boundaries. Rev. Mat. Complut., 29 (3). S. 497 - 511. MILAN: SPRINGER-VERLAG ITALIA SRL. ISSN 1988-2807

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Abstract

The first eigenvalue and corresponding eigenfunction of a certain Schro dinger type problem with a nonconstant potential is asymptotically determined by the behaviour of this potential near its minimum. If the domain is the whole space or when the potential does not assume its minimum at the boundary, the problem has been extensively studied by Simon, Helffer and Sjostrand, respectively by Dancer and Lpez-Gmez. We consider the problem on bounded domains in the case that the potential assumes its minimum at several places, which may include a boundary point.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Reyes, Carlos Andres UNSPECIFIED UNSPECIFIED UNSPECIFIED Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-264857
DOI:	10.1007/s13163-016-0197-y
Journal or Publication Title:	Rev. Mat. Complut.
Volume:	29
Number:	3
Page Range:	S. 497 - 511
Date:	2016
Publisher:	SPRINGER-VERLAG ITALIA SRL
Place of Publication:	MILAN
ISSN:	1988-2807
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LOW-LYING EIGENVALUES; SEMICLASSICAL ANALYSIS; WELLS Multiple languages Mathematics, Applied; Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26485