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Singular degenerate parabolic equations with applications to the p-laplace diffusion equation
| Title: | Singular degenerate parabolic equations with applications to the p-laplace diffusion equation |
| Authors: | Ohnuma, M. Browse this author | | Sato, K. Browse this author |
| Issue Date: | 1-Mar-1996 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 332 |
| Start Page: | 1 |
| End Page: | 20 |
| Abstract: | We consider singular degenerate parabolic equations including the p-Laplace diffusion equation. We establish a comparison priciple which is a natural extension of the paper [12] by Ishii and Souganidis. Once we get a comparison priciple we can construct the unique global-in-time solution to the Cauchy problem for the p-Laplace diffution equation. The solution is bounded, uniformly continuous [0,T）× R N if the initial data is bounded, unformaly continuous on R N. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/69082 |
| 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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