Eikonal equations in metric spaces


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Files in This Item:

pre991.pdf

138.59 kB

PDF

Please use this identifier to cite or link to this item:https://doi.org/10.14943/84138

Title:	Eikonal equations in metric spaces
Authors:	Giga, Yoshikazu Browse this author
	Hamamuki, Nao Browse this author
	Nakayasu, Atsushi Browse this author
Keywords:	Eikonal equation
	metric space
	metric viscosity solutions
Issue Date:	25-Dec-2011
Publisher:	Department of Mathematics, Hokkaido University
Journal Title:	Hokkaido University Preprint Series in Mathematics
Volume:	991
Start Page:	1
End Page:	18
Abstract:	A new notion of a viscosity solution for Eikonal equations in a general metric space is introduced. A comparison principle is established. The existence of a unique solution is shown by constructing a value function of the corresponding optimal control theory. The theory applies to in- nite dimensional setting as well as topological networks, surfaces with singularities.
Type:	bulletin (article)
URI:	http://hdl.handle.net/2115/69797
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University