一类混合型拟线性双曲抛物型方程的非线性边界问题

Nonlinear Boundary Conditions in the Case of Mixed Type of Quasilinear Hyperbolic-Parabolic Equation

本文讨论了以下两个问题 : .提出形式为 a(v) v(x,t) x t =0 u(x,t) t -b(u) 2 u(x,t) t2 =0 ;的混合型方程的非线性边界条件问题并将证明已知系数 a(v) ,b(u)和解函数 v(x,t) ,u(x,t)及其它们的各阶偏导数的 шаудер和Гулъдер型定额 (Aприорныйасенка) .利用 的结论 ,极值原理和 [1] ,[2

This paper poses that the conditional norms(АПРИОР Н ЫЙ Review)in the given function and differential prime and coefficient way in nonlinear boundary conditions in the case of mixed type of quasilinear hyperbol ic-parabolic equation. Then it proves the only existence of the classical solution of by applying the 《Апргиорный туре review》,extremum principle an d method,.\;