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15 June 2017 Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation
Roland Donninger
Duke Math. J. 166(9): 1627-1683 (15 June 2017). DOI: 10.1215/00127094-0000009X

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.

Citation

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Roland Donninger. "Strichartz estimates in similarity coordinates and stable blowup for the critical wave equation." Duke Math. J. 166 (9) 1627 - 1683, 15 June 2017. https://doi.org/10.1215/00127094-0000009X

Information

Received: 9 November 2015; Revised: 31 August 2016; Published: 15 June 2017
First available in Project Euclid: 5 April 2017

zbMATH: 1378.35050
MathSciNet: MR3662440
Digital Object Identifier: 10.1215/00127094-0000009X

Subjects:
Primary: 35L05
Secondary: 35C06

Keywords: blowup , critical wave equation , self-similarity , Strichartz estimate , type I blowup

Rights: Copyright © 2017 Duke University Press

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Vol.166 • No. 9 • 15 June 2017
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