Time-Like Trace Regularity of the Wave Equation with a Nonsmooth Principal Part
Time-Like Trace Regularity of the Wave Equation with a Nonsmooth Principal Part
A trace regularity result is established for the multidimensional wave equation with nonsmooth variable coefficients in the principal part. It is shown that the time like trace of the solution can be as regular as the solution itself, provided that microlocal restrictions against the tangential oscillations of the coefficients.