Critical regularity of nonlinearities in semilinear classical damped wave equations

Marcelo Rempel Ebert, Giovanni Girardi, Michael Reissig

In this paper we consider the Cauchy problem for the semilinear damped wave equation $u_{tt}-\Delta u+u_t=h(u);u(0;x)=f(x);u_t(0;x)=g(x);$ where $h(s) = |s|^{1+2/n}…