Finite time blow up for critical wave equations in high dimensions

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dc.creatorYordanov, Borislav T.
dc.creatorZhang, Qi S.
dc.date2004-04-03
dc.date.accessioned2026-07-07T05:07:04Z
dc.date.available2026-07-07T05:07:04Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0404055
dc.identifierhttp://arxiv.org/abs/math/0404055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70711
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35L15
dc.titleFinite time blow up for critical wave equations in high dimensions
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