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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

Keywords:

well-posedness
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