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 language | English (US) |
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Pages (from-to) | 1099-1107 |
Number of pages | 9 |
Journal | Communications in Partial Differential Equations |
Volume | 31 |
Issue number | 7 |
DOIs | |
State | Published - Jun 1 2006 |
Keywords
- Uniqueness
- Wave equation
ASJC Scopus subject areas
- Analysis
- Applied Mathematics