A. Z. Fino

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

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 $u_{tt}-Δu=u_t|u_t|^{p-1}$.