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Axisymmetric solutions and singular parabolic equations in the theory of viscosity solutions
| Title: | Axisymmetric solutions and singular parabolic equations in the theory of viscosity solutions |
| Authors: | Ohnuma, M. Browse this author |
| Issue Date: | 1-Dec-1995 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 321 |
| Start Page: | 1 |
| End Page: | 26 |
| Abstract: | We extend the theory of viscosity solutions for singular parabolic equations including, for example, axisymmetrized level set equation for mean curvature flow equation. We establish a comparison principle for viscosity solutions of singular degenerate parabolic equations including such an equation . We discuss the relation between axisymmetric viscosity solutions of original level set equation for mean curvature flow equation and the viscosity solution of axisymmetrized one. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69072 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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