Title | ON AN UNDERLYING STRUCTURE FOR THE CONSISTENCY OF VISCOSITY SOLUTIONS |
Publication Type | Journal Article |
Year of Publication | 2005 |
Authors | Yamauchi, K |
Secondary Title | Communications in Applied Analysis |
Volume | 9 |
Issue | 1 |
Start Page | 117 |
Pagination | 129 |
Date Published | 01/2005 |
Type of Work | scientific: mathematics |
ISSN | 1083–2564 |
AMS | 06A06, 49L25 |
Abstract | To consider phenomena of physics and economics, we need solutions in weak sense, one of which is the viscosity solution. Its definition has many variations to indicate the uniqueness and the existence of solutions. This paper attempts to give a framework which unifies viscosity solutions synthetically.
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URL | http://www.acadsol.eu/en/articles/9/1/8.pdf |
Short Title | On an Underlying Structure |
Refereed Designation | Refereed |
Full Text | REFERENCES [1] M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of HamiltonJacobi-Bellman Equations, Birkh ̈auser, Boston, 1997. [8] Y. Giga, Surface Evolution Equations — a Level Set Method, Lipschitz Lecture Notes, 44, University of Bonn, 2002.
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