Large Outgoing Solutions to Supercritical Wave Equations

Marius Beceanu, Avy Soffer

Research output: Contribution to journalArticle

Abstract

We prove the existence of global solutions to the energy-supercritical wave equation in ℝ3+1 (Equation Presented) for a large class of radially symmetric finite-energy initial data. Functions in this class are characterized as being outgoing under the linear flow-for a specific meaning of "outgoing" defined below. In particular, we construct global solutions for initial data with large (even infinite) critical Sobolev, Besov, Lebesgue, and Lorentz norms and several other large critical norms.

Original languageEnglish (US)
Pages (from-to)6201-6253
Number of pages53
JournalInternational Mathematics Research Notices
Volume2018
Issue number20
DOIs
StatePublished - Oct 23 2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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