Instability of type II blow up for the quintic nonlinear wave equation on $\mathbb{R}^{3+1}$
Krieger, Joachim; Nahas, Joules Elie
2015

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Abstract

We prove that the blow up solutions of type II character constructed by Krieger-Schlag-Tataru [21] as well as Krieger-Schlag [20] are unstable in the energy topology in that there exist open data sets whose closure contains the dataof the preceding type II solutions and such that data in these sets lead to solutionsscattering to zero at time $t≠+\infty$.

Details

Title Instability of type II blow up for the quintic nonlinear wave equation on $\mathbb{R}^{3+1}$
Author(s) Krieger, Joachim ; Nahas, Joules Elie
Published in Bulletin de la Société Mathématique de France
Volume 143
Issue 2
Pages 339-355
Date 2015
ISSN 0037-9484
Keywords
DOI https://doi.org/10.24033/bsmf.2690
Laboratories PDE
Record Appears in Scientific production and competences > SB - School of Basic Sciences > MATH - Institute of Mathematics > PDE - Chair of Partial Differential Equations
Work produced at EPFL
Journal Articles
Published
Record creation date 2013-01-09

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