Global existence and blow up of positive initial energy solution of a quasilinear wave equation with nonlinear damping and source terms
by Paul A. Ogbiyele
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 10, No. 4, 2020

Abstract: In this paper, we consider a quasilinearwave equation having nonlinear damping and source terms
and obtained global existence and blow up results under certain polynomial growth conditions on the nonlinear functions σ_i, β_i, (i = 1, 2, ..., n), f and g. We obtain global existence result for positive initial energy solution using Galerkin approximation procedure and nonexistence (blow up) result using the technique introduced by Georgiev and Todorova (1994) with little modification for our problem.

Online publication date: Thu, 20-Aug-2020

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Dynamical Systems and Differential Equations (IJDSDE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com