Stefano Francesco Burzio

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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 ...

2018

Type II solutions 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 ...

2018

Stefano Francesco Burzio

On long time behavior of solutions to nonlinear dispersive equations

Type II solutions 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

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

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