【摘要】 本文考虑在劈状区域内拟线性对称双曲型方程组的边值问题,在对边界条件的一定限制下,给出了通常Sobolev模的能量估计并证明了解的存在性,并用同样方法讨论了小交角区域内对称双曲型方程组的初边值问题。更多还原

【Abstract】 Boundary value Problems are considered for quasilinear symmetric hyperbolicsystems in the wedge domain. Under certain restrictions upon the boundary condi-tions, the energy estimate is given in the usual Sobolev norm and the existence ofsolution is proved. A similar method applies to the discussion of the initial boundaryvalue problems for symmetric hyperbolic system in a domain with nearly plain corners.更多还原