一类非齐次拟线性双曲型方程组混合初边值问题的整体经典解  

The Global Classical Solution of the Mixed Initial-boundary Value Problem for a Kind of the First Order Quasilinear Hyperbolic System

作　　者：陈云雷[1] 

机构地区：[1]复旦大学数学科学学院,上海200433

出　　处：《复旦学报（自然科学版）》2006年第5期625-631,共7页Journal of Fudan University：Natural Science

基　　金：国家自然科学基金资助项目(10225102)

摘　　要：考虑半无界区域{(t,x)|t≥0,x≥0}上的一类拟线性双曲型方程组的混合初边值问题.假设正特征弱线性退化,方程右端项满足匹配条件,可以得到慢衰减小初值问题C1解的整体存在性和唯一性.The mixed inltial-boundary value problem for a kind of the first order quasilinear hyperbolic system with nonlinear boundary conditions in a half-unbounded domain {（ t ,x） [ t≥0,x≥0} is considerded. Under the assumptions that the positive eigenvalues are weakly linearly degenerate, and that the right hand side of the equations meets matching conditions, the global existence and uniqueness of C^1 solution with small and decaying data are obtained.

关 键 词：整体经典解 混合初边值问题 弱线性退化 匹配条件 

分 类 号：O175.27[理学—数学]