Finite time blow up for critical wave equations in high dimensions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that solutions to the critical wave equation below can not be global if the initial values are positive somewhere and nonnegative. This completes the solution to the famous blow up conjecture about critical semilinear wave equations of the form $Δu - \partial^2_t u + |u|^p = 0$ in dimensions $n \ge 4$. The lower dimensional case $n \le 3$ was settled many years earlier.

Keywords

Analysis of PDEs, Mathematical Physics, 35L15

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/70711

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0404055
 http://arxiv.org/abs/math/0404055

Collections

arXiv