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.
出处
《复旦学报(自然科学版)》
CAS
CSCD
北大核心
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)
关键词
整体经典解
混合初边值问题
弱线性退化
匹配条件
global existence and uniqueness
mixed initial-boundary value problem
weakly linearly degenerated
matching condition