| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 837384 | Nonlinear Analysis: Real World Applications | 2013 | 9 Pages |
Abstract
This paper deals with the initial–boundary value problem for a class of nonlinear higher-order Kirchhoff-type equation with dissipative term utt+‖A12u‖2pAu+a|ut|q−2ut=b|u|r−2u,x∈Ω,t>0 in a bounded domain, where A=(−Δ)mA=(−Δ)m, m>1m>1 is a positive integer, a,b,p>0a,b,p>0 and q,r>2q,r>2 are constants. We obtain the global existence of solutions by constructing a stable set in H0m(Ω) and show the energy decay estimate by applying a lemma of V. Komornik.
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Authors
Yaojun Ye,