Publication Date:
2018-03-06
Description:
In this paper, we investigate the initial value problem for the generalized double dispersion equation in \({\mathbb {R}}^n\) . Weighted decay estimate and asymptotic profile of global solutions are established for \(n\ge 3 \) . The global existence result was already proved by Kawashima and the first author in Kawashima and Wang (Anal Appl 13:233–254, 2015 ). Here, we show that the nonlinear term plays an important role in this asymptotic profile.
Print ISSN:
0044-2275
Electronic ISSN:
1420-9039
Topics:
Mathematics
,
Physics