Global well-posedness for the nonlinear wave equation in analytic Gevrey spaces

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Abstract

We consider the problem of low-regularity global well-posedness for the nonlinear wave equation. In particular, we construct special analytic solutions with the optimal regularity predicted by Sogge and Lindblad which exist up to arbitrarily long times.
Original languageEnglish
Number of pages14
JournalJournal of Differential Equations
Publication statusSubmitted - 2020

Keywords

  • Wave equations
  • low regularity
  • well-posedness
  • analytic
  • Gevrey spaces

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