Universität zu Köln

Kawohl, Bernd ORCID: 0000-0003-2918-7318 (2020). How I met the normalized p-Laplacian Delta(N)(p) and what we know now about mean values and concavity properties. J. Elliptic Parabol. Equat., 6 (1). S. 113 - 122. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 2296-9039

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Abstract

In this article I describe how I discovered the normalized p-Laplacian Delta pNu=1p| backward difference u|2-p Delta puas an interesting mathematical object in the context of mathematical image processing. Then I provide a survey of results which this operator has in common with the linear Laplacian.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Kawohl, Bernd UNSPECIFIED orcid.org/0000-0003-2918-7318 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-340438
DOI:	10.1007/s41808-020-00060-2
Journal or Publication Title:	J. Elliptic Parabol. Equat.
Volume:	6
Number:	1
Page Range:	S. 113 - 122
Date:	2020
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	2296-9039
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 TUG-OF-WAR; 1ST EIGENVALUE; DIRICHLET; PRINCIPLE; MAXIMUM; MOTION Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/34043