## Duke Mathematical Journal

### Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation

Roland Donninger

#### Abstract

We establish Strichartz estimates in similarity coordinates for the radial wave equation in three spatial dimensions with a (time-dependent) self-similar potential. As an application, we consider the critical wave equation and prove the asymptotic stability of the ordinary differential equations blowup profile in the energy space.

#### Article information

Source
Duke Math. J., Volume 166, Number 9 (2017), 1627-1683.

Dates
Revised: 31 August 2016
First available in Project Euclid: 5 April 2017

https://projecteuclid.org/euclid.dmj/1491357654

Digital Object Identifier
doi:10.1215/00127094-0000009X

Mathematical Reviews number (MathSciNet)
MR3662440

Zentralblatt MATH identifier
1378.35050

Subjects
Primary: 35L05: Wave equation
Secondary: 35C06: Self-similar solutions

#### Citation

Donninger, Roland. Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation. Duke Math. J. 166 (2017), no. 9, 1627--1683. doi:10.1215/00127094-0000009X. https://projecteuclid.org/euclid.dmj/1491357654

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