Publication

Threshold phenomenon for the quintic wave equation in three dimensions

Joachim Krieger
2014
Journal Articles

Abstract

For the critical focusing wave equation $\square u=u^5$ on $\mathbb{R}^{3+1}$ in the radial case, we establish the role of the “center stable” manifold $\Sigma$ constructed in [18] near the ground state $(W,0)$ as a threshold between blowup and scattering to zero, establishing a conjecture going back to numerical work by Bizo´n, Chmaj, Tabor [3]. The underlying topology is stronger than the energy norm.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Joachim Krieger
2014
Journal Articles

Abstract

Official source

Related publications (7)

Threshold phenomenon for the quintic wave equation in three dimensions

Chat with Graph Search

Experimental studies of the equilibrium and out-of-equilibrium electronic structure of non-symmorphic topological materials

A Theoretical Investigation of Topological Insulator Nanostructures

Computing Accurate Performance Bounds for Best Effort Networks-on-Chip