1996年
Singular limit of some quasilinear wave equations with damping and restoring terms
Tokyo Journal of Mathematics
- 巻
- 19
- 号
- 1
- 開始ページ
- 197
- 終了ページ
- 210
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3836/tjm/1270043229
- 出版者・発行元
- TJM刊行会
A mixed problem for some hyperbolic equation with small parameter ε under the presence of a restoring term |u|αu and a reduced problem for a parabolic type are considered. Several ε weighted energy estimates can be obtained by the method of difference quotients. It is shown that the solution of the mixed problem converges, uniformly on any finite time interval, to the solution u of the problem for the parabolic equation in an appropriate Hilbert space as ε→0. © 1996 by the University of Notre Dame. All rights reserved.
- ID情報
-
- DOI : 10.3836/tjm/1270043229
- ISSN : 0387-3870
- SCOPUS ID : 34247881172