半线性双速对称双曲方程组的间断行波的反射

Reflection of discontinuous progressing waves forsemilinear two-speed symmetric hyperbolic systems

利用先验估计方法解决了半线性双速对称双曲方程组在耗散边界条件下的间断行波在边界上的反射，证明了过去时间内的间断行波必可延拓成某将来时间内的间断行波．

A semilinear two-speed symmetric hyperbolic systems with the boundary condition which satisfies a dissipative condition, for the usual pattern of reflection of one discontinuous wave on a boundary,using prior estimate method, thefollowing conclusion is obtained:when a given bounded solution is L2-conormalwith respect to the characteristic hypersurfaces in the past time,then this solutioncan be extended as a bounded and L2-conormal solution in the future time.