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ID 115942
Author
Content Type
Departmental Bulletin Paper
Description
We study on the Cauchy problem for non-degenerate Kirchhoff type dissipative wave equations ρu′′ + a (||A1/2u(t)||2) Au + u′ = 0 and (u(0), u′(0)) = (u0, u1), where u0 ≠ 0 and the nonlocal nonlinear term a(M) = 1+Mγ with γ > 0. Under the suitably smallness condition, we derive the upper decay estimates of the solution u(t) for the case of 0 < γ < 1 in addition to γ ≥ 1.
Journal Title
Journal of Mathematics
ISSN
13467387
NCID
AA11595324
Publisher
TOKUSHIMA UNIVERSITY
Volume
53
Start Page
55
End Page
66
Sort Key
55
Published Date
2019
EDB ID
FullText File
language
eng
TextVersion
Publisher
departments
Science and Technology