Title

Maximizers for the Strichartz inequalities for the wave equation

Document Type

Article

Publication Date

11-1-2010

Abstract

We prove the existence of maximizers for Strichartz inequalities for the wave equation in dimensions d ≥ 3. Our approach follows the scheme given by Shao in [21] which obtains the existence of maximizers in the context of the Schrödinger equation. The main tool that we use is the linear profile decomposition for the wave equation which we prove in R , d ≥ 3, extending the profile decomposition result of Bahouri and Gerard [1], previously obtained in R . d 3

Publication Source (Journal or Book title)

Differential and Integral Equations

First Page

1035

Last Page

1072

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