ID 71599
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 initial-boundary value problem for the degenerate Kirchhoff type wave equation with strong dissipation : ρ ∂2u/∂t2 − (∫ Ω |∇u(x,t)|2 dx ) Δu−δΔ ∂u /∂t = 0. For all t ≥ 0, a lower decay estimate of the solution ∥∇u(t)∥2 ≥ c (1 + t)−1 is derived when either the coefficient ρ or the initial data are appropriately smaller than the coefficient δ.
Journal Title
Journal of mathematics, the University of Tokushima
ISSN
13467387
NCID
AA11595324
Volume
44
Start Page
27
End Page
31
Sort Key
27
Published Date
2010-12
FullText File
language
eng
departments
Science and Technology