| ID | 116 |
| Author |
Ono, Kosuke
Department of Mathematical Sciences, Faculty of Integrated Arts and Sciences, Tokushima University
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| Content Type |
Departmental Bulletin Paper
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| Description | We study the initial-boundary value problem for the nonlinear wave equations with nonlinear dissipative terms: [numerical formula] with u(0)=u_0, u'(0)=u_1, and u|∂Ω=0. When the initial energy E(u_0, u_1) < 0 and the inner product (u_0, u_1) > 0, the solution blows up at some finite time T which is estimated from above. On the other hand, when [numerical formula] and u_0 ∈ W_*, the solution exists globally in time and has the energy decay [numerical formula].
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| Journal Title |
Journal of mathematics, Tokushima University
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| ISSN | 00754293
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| NCID | AA00701816
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| Volume | 30
|
| Start Page | 19
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| End Page | 43
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| Sort Key | 19
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| Published Date | 1997-02-20
|
| Remark | 公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。
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| EDB ID | |
| FullText File | |
| language |
eng
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| departments |
Science and Technology
|
