Stefano Francesco Burzio

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Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

Joachim Krieger, Stefano Francesco Burzio

We show that the finite time type II blow up solutions for the energy critical nonlinear wave equation [ \Box u = -u^5 ] on

\R^{3+1}

constructed in \cite{KST}, \cite{KS1} are stable along a co-dimension one Lipschitz manifold of data perturbations in a ...

2022

Stability of slow blow-up solutions for the critical focussing nonlinear wave equation on $\mathbb{R}^{3+1}$

Stefano Francesco Burzio

In this brief survey we outline the recent advances on the stability issues of certain finite time type II blow-up solutions for the energy critical focusing wave equation

\Box u=-u^{5}

\mathbb{R}^{3+1}

. Hereafter we use the convention $\Box=-\parti ...

2020

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Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

Stability of slow blow-up solutions for the critical focussing nonlinear wave equation on $\mathbb{R}^{3+1}$

On long time behavior of solutions to nonlinear dispersive equations

Type II blow up solutions with optimal stability properties for the critical focussing nonlinear wave equation on $\R^{3+1}$

On long time behavior of solutions to nonlinear dispersive equations

Stability of slow blow-up solutions for the critical focussing nonlinear wave equation on $\mathbb{R}^{3+1}$