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)|
|Number of pages||9|
|Journal||Communications in Partial Differential Equations|
|State||Published - Jun 1 2006|
- Wave equation
ASJC Scopus subject areas
- Applied Mathematics