Well-posedness for the Cauchy problem of the Klein-Gordon-Zakharov system in five and more dimensions

Isao Kato, Shinya Kinoshita

We study the Cauchy problem of the Klein-Gordon-Zakharov system in spatial dimension $d\ge 5$ with initial datum $(u, \partial_t u, n, \partial_t n)|_{t=0} \in H^{s+1}(\mathbb{R}^…