On uniqueness for the critical wave equation

Nader Masmoudi, Fabrice Planchon

Research output: Contribution to journalArticlepeer-review

Abstract

We prove the uniqueness of weak solutions to the critical defocusing wave equation in 3D under a local energy inequality condition. More precisely, we prove the uniqueness of u ∈ Lt(Ḣ 1) ∩ Ẇt1,∞(L2), under the condition that u verifies some local energy inequalities.

Original languageEnglish (US)
Pages (from-to)1099-1107
Number of pages9
JournalCommunications in Partial Differential Equations
Volume31
Issue number7
DOIs
StatePublished - Jun 1 2006

Keywords

  • Uniqueness
  • Wave equation

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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