Bent rectangles as viscosity solutions over a circle. (September 2015)
- Record Type:
- Journal Article
- Title:
- Bent rectangles as viscosity solutions over a circle. (September 2015)
- Main Title:
- Bent rectangles as viscosity solutions over a circle
- Authors:
- Giga, Yoshikazu
Górka, Przemysław
Rybka, Piotr - Abstract:
- Abstract: We study the motion of the so-called bent rectangles by the singular weighted mean curvature. We are interested in the curves which can be rendered as graphs over a smooth one-dimensional reference manifold. We establish a sufficient condition for that. Once we deal with graphs we can have the tools of the viscosity theory available, like the Comparison Principle. With its help we establish uniqueness of variational solutions constructed by the authors (Giga et al., 2013). In addition, we establish a criterion for the mobility coefficient guaranteeing vertex preservation.
- Is Part Of:
- Nonlinear analysis. Volume 125(2015)
- Journal:
- Nonlinear analysis
- Issue:
- Volume 125(2015)
- Issue Display:
- Volume 125, Issue 2015 (2015)
- Year:
- 2015
- Volume:
- 125
- Issue:
- 2015
- Issue Sort Value:
- 2015-0125-2015-0000
- Page Start:
- 518
- Page End:
- 549
- Publication Date:
- 2015-09
- Subjects:
- primary 53C44 -- secondary 35K55 35D40 35B51
Singular energies -- Driven curvature flow -- Viscosity solutions -- Comparison principle
Mathematical analysis -- Periodicals
Functional analysis -- Periodicals
Nonlinear theories -- Periodicals
Analyse mathématique -- Périodiques
Analyse fonctionnelle -- Périodiques
Théories non linéaires -- Périodiques
Functional analysis
Mathematical analysis
Nonlinear theories
Periodicals
Electronic journals
515.7248 - Journal URLs:
- http://www.sciencedirect.com/science/journal/0362546X ↗
http://www.elsevier.com/journals ↗ - DOI:
- 10.1016/j.na.2015.05.033 ↗
- Languages:
- English
- ISSNs:
- 0362-546X
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 6117.316500
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 8207.xml