Trace Regularity for a Second Order Hyperbolic Equation with Nonsmooth Coefficients

In this research, a trace regularity theorem on a time-like surface is proved for the solution of a multidimensional linear acoustic wave equation with nonsmooth coefficients. Our theorem indicates that with microlocal restrictions against tangential oscillations in the coefficients, the boundary value is just as regular as the solution, in particular as regular as the coefficients allow.