| 半线性二阶严格双曲拟微分方程的光滑传播 |
| |
| 引用本文： | 彭宏,余喜章,杜心华. 半线性二阶严格双曲拟微分方程的光滑传播[J]. 四川师范大学学报(自然科学版), 1990, 0(3) |
| |
| 作者姓名： | 彭宏 余喜章 杜心华 |
| |
| 作者单位： | 四川师范大学数学系，四川师范大学数学系，四川师范大学数学系 |
| |
| 摘 要： | 本文讨论半线性严格双曲拟微分方程的 H~传播理论,得到了这种方程的(粗略地)强度为3_8—n的微局部正则性将沿零次特征传播.
|
| 关 键 词： | 半线性方程 严格双曲 拟微分方程 光滑传播 |
PROPAGATION OF SMOOTHNESS FOR SEMILINEAR SECOND-ORDER STRICTLY HYPERBOLIC PSEUDODIFFERENTIAL EQUATIONS |
| |
| Peng Hong Yu Xizhang Du Xinhua. PROPAGATION OF SMOOTHNESS FOR SEMILINEAR SECOND-ORDER STRICTLY HYPERBOLIC PSEUDODIFFERENTIAL EQUATIONS[J]. Journal of Sichuan Normal University(Natural Science), 1990, 0(3) |
| |
| Authors: | Peng Hong Yu Xizhang Du Xinhua |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | The aim of this paper is to discuss the propagation of smoothness for semilinear strictly hyperbolic equations P_2(x,D)u=f(x,u)and P_2(x,D)u=f(x,u,Dn),Where P_2(x,D)is second-order strictly hyperbolic pseudedifferential opera-tor.The result of strength 3S-n roughly for the propagation of singularities is obtained. |
| |
| Keywords: | Semilinear equation strictly hyperbolic pseudodifferential equation propagation of smoothness. |
| 本文献已被 CNKI 等数据库收录！ |
