Universität zu Köln

Sweers, Guido ORCID: 0000-0003-0180-5890 (2014). POSITIVITY FOR THE NAVIER BILAPLACE, AN ANTI-EIGENVALUE AND AN EXPECTED LIFETIME. Discret. Contin. Dyn. Syst.-Ser. S, 7 (4). S. 839 - 856. SPRINGFIELD: AMER INST MATHEMATICAL SCIENCES. ISSN 1937-1179

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Abstract

We address the question, for which lambda is an element of R is the boundary value problem {Delta(2)u + lambda u = f in Omega, u = Delta u = 0 on partial derivative Omega, positivity preserving, that is, f >= 0 implies u >= 0. Moreover, we consider what happens, when lambda passes the maximal value for which positivity is preserved.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-433590
DOI:	10.3934/dcdss.2014.7.839
Journal or Publication Title:	Discret. Contin. Dyn. Syst.-Ser. S
Volume:	7
Number:	4
Page Range:	S. 839 - 856
Date:	2014
Publisher:	AMER INST MATHEMATICAL SCIENCES
Place of Publication:	SPRINGFIELD
ISSN:	1937-1179
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 CONDITIONED BROWNIAN-MOTION; ELLIPTIC-SYSTEMS; SCHRODINGER OPERATOR; MAXIMUM PRINCIPLE; GREEN-FUNCTION; DOMAINS; GAUGE; DISK; EQUATIONS Multiple languages Mathematics, Applied Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/43359