抄録
The existence of time local C∞-solutions is shown for Cauchy problem of the porous medium equations. Our arguments rely on the "L∞-energy method" developed in our previous paper [16] and a new method based on the theory of evolution equations in the L2-framework which enables us to handle with porturbations which can be decomposed into monotone parts and small parts in Sobolev spaces of higher order.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 1-789 |
| ページ数 | 789 |
| ジャーナル | Journal of the Mathematical Society of Japan |
| 巻 | 53 |
| 号 | 4 |
| 出版ステータス | Published - 2001 10月 |
ASJC Scopus subject areas
- 数学 (全般)