半线性双速对称双曲方程组的强间断初边值问题

Initial Boundary Value Problems for a Semilinear Two-Speed Symmetric Hyperbolic Systems with Discontinuous Data

探讨了半线性双速对称双曲方程组在最大耗散边界条件下的强间断初边值问题，利用先验估计法证明了强间断解的存在性和唯一性．

This paper discusses the initial boundary value Problems for a semilinear two-speed symmetric hyperbolic systems with the boundary conditions satisfying a dissipative condition about discontinuous data. By means of the method of prior estimates, we prove the local existencc of discontinuous solutions.