Asymptotic profile of global solutions to the generalized double dispersion equation via the nonlinear term

Asymptotic profile of global solutions to the generalized double dispersion equation via the... In this paper, we investigate the initial value problem for the generalized double dispersion equation in $${\mathbb {R}}^n$$ R n . Weighted decay estimate and asymptotic profile of global solutions are established for $$n\ge 3 $$ n ≥ 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Zeitschrift für angewandte Mathematik und Physik Springer Journals

Asymptotic profile of global solutions to the generalized double dispersion equation via the nonlinear term

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
Subject
Engineering; Theoretical and Applied Mechanics; Mathematical Methods in Physics
ISSN
0044-2275
eISSN
1420-9039
D.O.I.
10.1007/s00033-018-0930-0
Publisher site
See Article on Publisher Site

Abstract

In this paper, we investigate the initial value problem for the generalized double dispersion equation in $${\mathbb {R}}^n$$ R n . Weighted decay estimate and asymptotic profile of global solutions are established for $$n\ge 3 $$ n ≥ 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.

Journal

Zeitschrift für angewandte Mathematik und PhysikSpringer Journals

Published: Feb 23, 2018

References

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