拟线性对称双曲组的非线性初边值问题
On the initial boundary value problem for quasilinear symmetric hyperbolic system with nonlinear boundary conditions
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摘要: 本文研究多个自变量的拟线性对称双曲型方程组,在边界条件为非线性情况下的初边值问题。在一定的条件下,得到了可微解的存在和唯一性定理。Abstract: The initial boundary value problem for quasilinear symmetric hyperbolic system with nonlinear boundary conditions was studied and the theorem on uniqueness and exi- stence of the differentiable solution under certain conditions was obtained.