拟线性正对称组具非线性特征的边值问题

The Boundary Problem for Quasilinear Symmetric Positive Systems with Nonlinear Characteristic

中文摘要:

      谷超豪在[1]中就报告了拟线性正对称方程组边值问题解的存在和唯一性定理,详细的证明发表于[2],在[7]中对此有所改进,所建立的理论适用于非特征的齐次边值的情况。[3]参考了[2],[4]的做法,把[2]的结果推广到拟线性正对称组具某类特征的边值问题中去,但要求边界条件仍是齐次的。本文讨论边界条件是非齐次的,且是非线性的特征边值问题,在这种情况下建立了可微解的存在和唯一性定理。

英文摘要:

      In this paper we generalized the result of Professor Gu Chaohao in [ 1 ],[2] [7 ], Set up the differentiable soluton existence and uniqueness theorem of the the boundary problem for quaslilinear symmetric positive system with nonlinear characteristic.