Differential and Integral Equations

Maximizers for the Strichartz Inequalities for the wave equation

Aynur Bulut

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We prove the existence of maximizers for Strichartz inequalities for the wave equation in dimensions $d\geq 3$. 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 $\mathbb{R}^d$, $d\geq 3$, extending the profile decomposition result of Bahouri and Gerard [1], previously obtained in $\mathbb{R}^3$.

Article information

Differential Integral Equations, Volume 23, Number 11/12 (2010), 1035-1072.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35L05: Wave equation


Bulut, Aynur. Maximizers for the Strichartz Inequalities for the wave equation. Differential Integral Equations 23 (2010), no. 11/12, 1035--1072. https://projecteuclid.org/euclid.die/1356019072

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