## On uniqueness for semilinear wave equations.(English)Zbl 1023.35079

Summary: We prove that uniqueness holds in $$C_t(\dot H^s)$$ for solutions of $$\square u = u^p$$ for suitable values of $$s,p$$. This includes notably the $$\dot H^1$$ critical case for $$n=4,5,6$$.

### MSC:

 35L70 Second-order nonlinear hyperbolic equations 35L15 Initial value problems for second-order hyperbolic equations

well-posedness
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