On the Existence of Solutions for First Order Quasilinear SymmetrizableSystenis of Partial Differential Equations
Citation:
Qin Tichu.On the Existence of Solutions for First Order Quasilinear SymmetrizableSystenis of Partial Differential Equations[J].Chinese Annals of Mathematics B,1982,3(3):353~364
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Authors:
Qin Tichu;
Abstract:
In this paper we study the first order quasilinear symmetrizable system of partial differential equations
$\sum\limits_{i = 1}^n {{a_i}(x,u)\frac{{\partial u}}{{\partial {x_i}}} + \lambda u = f(x,u)}$ (1)
where a_i(x,y) are k*k matrices.