On uniqueness for the critical wave equation
Résumé
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 \in L^\infty_t(\dot{H}^{1})\cap \dot{W}^{1,\infty}_t(L^2)$, under the condition that $u$ verifies some local energy inequalities.
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