ID 116
Author
Ono, Kosuke Department of Mathematical Sciences, Faculty of Integrated Arts and Sciences, Tokushima University Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type
Departmental Bulletin Paper
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].
Journal Title
Journal of mathematics, Tokushima University
ISSN
00754293
NCID
AA00701816
Volume
30
Start Page
19
End Page
43
Sort Key
19
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。
EDB ID
FullText File
language
eng
departments
Science and Technology