Local existence and uniqueness for a semi-linear accretive wave equation

H. Faour, A. Z. Fino, M. Jazar

We prove local existence and uniqueness of the solution $(u,u_t)\in C^0([0,T];H^1\times L^2({\mathbb{R}}^N))$ of the semilinear wave equation $u_{tt}-\Delta u=u_t|u_t{|}^{p-1}$.