## Instability of type II blow up for the quintic nonlinear wave equation on $\mathbb{R}^{3+1}$

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 $t≠+\infty$.

Published in:
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 143, 2, 339-355
Year:
2015
ISSN:
0037-9484
Keywords:
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