一类拟线性耦合方程组的初边值问题
A class of initial-boundary value problems for quasilinear coupled system
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摘要: 引用带权的Sobolev模和牛顿迭代格式,讨论了拟线性对称双曲抛物耦合方程组的初边值问题,得到了可微解的存在和唯一性定理。Abstract: In this paper we introduced weighted Sobolev norms and Newton iteration scheme, discussed the initial boundary value problems for quasilinear symmetric hyperbolic parabolic coupled system, from which we get the establishmen of the existence and the unique theorem of the differentiable solution.