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Eikonal equations in metric spaces

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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
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)
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

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