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2019 Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space
Benjamin Dodson
Anal. PDE 12(4): 1023-1048 (2019). DOI: 10.2140/apde.2019.12.1023

Abstract

We prove that the cubic wave equation is globally well-posed and scattering for radial initial data lying in B 1 , 1 2 × B 1 , 1 1 . This space of functions is a scale-invariant subspace of 1 2 × 1 2 .

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Benjamin Dodson. "Global well-posedness and scattering for the radial, defocusing, cubic wave equation with initial data in a critical Besov space." Anal. PDE 12 (4) 1023 - 1048, 2019. https://doi.org/10.2140/apde.2019.12.1023

Information

Received: 10 July 2017; Revised: 2 April 2018; Accepted: 5 July 2018; Published: 2019
First available in Project Euclid: 30 October 2018

zbMATH: 06991225
MathSciNet: MR3869384
Digital Object Identifier: 10.2140/apde.2019.12.1023

Subjects:
Primary: 35B40, 35L05

Rights: Copyright © 2019 Mathematical Sciences Publishers

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Vol.12 • No. 4 • 2019
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