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Finite time blow up for critical wave equations in high dimensions

Authors
  • Yordanov, Borislav T.
  • Zhang, Qi S.
Type
Preprint
Publication Date
Apr 02, 2004
Submission Date
Apr 02, 2004
Identifiers
arXiv ID: math/0404055
Source
arXiv
License
Unknown
External links

Abstract

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 $\Delta u - \partial^2_t u + |u|^p = 0$ in dimensions $n \ge 4$. The lower dimensional case $n \le 3$ was settled many years earlier.

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