ID 84171
Author
Ono, Kosuke Department of Mathematical Sciences The University of Tokushima Tokushima University Educator and Researcher Directory KAKEN Search Researchers
Content Type
Departmental Bulletin Paper
Description
Consider the Cauchy problem for the dissipative wave equation : utt − Δu + u = 0, u = u(x; t) in RN × (0,∞) with u(x,0) = u0(x) and ut(x,0) = u1(x). If {u0,u1} are compactly supported data from the energy space, then there exists a domain Xm in RN such that {x ∈ RN ||x| ≥ t1/2+δ} ⊊ Xm for large t ≥ 0 and ∫ Xm (|ut| + |∇u|2) dx ≤ C(1 + t)-m with m > 0 for t ≥ 0, and moreover, if u0 + u1 = 0, then ∫ Xm |u|2 dx ≤ C(1 + t)-m for t ≥ 0.
Journal Title
Journal of mathematics, the University of Tokushima
ISSN
13467387
NCID
AA11595324
Volume
45
Published Date
2011
EDB ID
FullText File
language
eng
departments
Science and Technology