Smoothness of solutions to the initial-boundary value problem for the telegraph equation on the half-line with a locally summable potential

Sergey Simonov

We study solutions to the system $u_{tt}-u_{xx}+q(x)u=0,x>0,t>0$; $u{|}_{t=0}=u_t{|}_{t=0}=0,x>0$; $u{|}_{x=0}=g(t),t>0$, with a locally summable Hermitian matrix-valued potential $q$…