L^p estimates of solutions to some non-linear wave equations in one space dimension
by Alain Haraux
International Journal of Mathematical Modelling and Numerical Optimisation (IJMMNO), Vol. 1, No. 1/2, 2009

Abstract: Decay estimates like a negative power of t are studied in some general Sobolev spaces for a solution of the one-dimensional semi-linear wave equation with power-like damping term and Dirichlet homogeneous boundary conditions. Upper estimates of this kind are valid for smooth initial data, and we establish also weaker estimates from below on the time-derivative which differ from the above upper estimates by a 3/2 factor with respect to the power of t.

Online publication date: Wed, 09-Dec-2009

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 Mathematical Modelling and Numerical Optimisation (IJMMNO):
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