Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Hokkaido University Preprint Series in Mathematics >
Dynamic boundary conditions for Hamilton-Jacobi equations
Title: | Dynamic boundary conditions for Hamilton-Jacobi equations |
Authors: | Elliott, C. M Browse this author | Giga, Y. Browse this author | Goto, S. Browse this author |
Issue Date: | Dec-2001 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 546 |
Start Page: | 1 |
End Page: | 27 |
Abstract: | A non standard dynamic boundary condition for a Hamilton-Jacobi equation in one space dimension is studied in the context of viscosity solutions. A comparison principle and, hence, uniqueness is prm·ed by consideration of an equivalent notion of viscosity solution for an alternative formulation of the boundary condition. The relationship with a l\eumann condition is established. Global existence is obtained by consideration of a related parabolic approximation with a dynamic boundary condition. The problem is motivated by applications in superconductivity and interface evolution. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/69295 |
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
|