ON SYMMETRIC HYPERBOLIC BOUNDARY PROBLEMS WITH NONHOMOGENEOUS CONSERVATIVE BOUNDARY CONDITIONS

Symmetric hyperbolic systems with nonhomogeneous conservative boundary conditions are considered. Existence, uniqueness, and regularity are established for the boundary value problem and the initial-boundary value problem. This boundary problem is not strongly well-posed in L-2, a loss of derivatives is observed. Minimal regularity assumptions on the coefficients of the operator are made.