| INITIAL-OBLIQUE DERIVATIVE PROBLEMS FOR NONLINEAR PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS |
| |
| 作者姓名： | 闻国椿 许作良 |
| |
| 作者单位： | Wen Guochun School of Mathematical Sciences，Peking University，Beijing 100871，ChinaXu Zuoliang Information School，Renmin University of China，Beijing 100872，China |
| |
| 摘 要： | This paper deals with some initial-oblique derivative boundary value problems for nonlinear nondivergent parabolic systems of several second order equations with measurable coefficients in multiply connected domains. Firstly, a priori estimates of solutions for the initial-boundary value problems are given, and then by using the above estimates of solutions and the Leray-Schauder theorem, the existence and uniqueness of solutions for the problems are proved.
|
INITIAL-OBLIQUE DERIVATIVE PROBLEMS FOR NONLINEAR PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS |
| |
| Wen Guochun School of Mathematical Sciences,Peking University,Beijing ,ChinaXu Zuoliang Information School,Renmin University of China,Beijing ,China.INITIAL-OBLIQUE DERIVATIVE PROBLEMS FOR NONLINEAR PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS[J].Acta Mathematica Scientia,2003,23(1):67-73. |
| |
| Authors: | Wen Guochun School of Mathematical Sciences Peking University Beijing ChinaXu Zuoliang Information School Renmin University of China Beijing China |
| |
| Institution: | Wen Guochun School of Mathematical Sciences,Peking University,Beijing 100871,ChinaXu Zuoliang Information School,Renmin University of China,Beijing 100872,China |
| |
| Abstract: | This paper deals with some initial-oblique derivative boundary value problems for nonlinear nondivergent parabolic systems of several second order equations with measurable coefficients in multiply connected domains. Firstly, a priori estimates of solutions for the initial-boundary value problems are given, and then by using the above estimates of solutions and the Leray-Schauder theorem, the existence and uniqueness of solutions for the problems are proved. |
| |
| Keywords: | Nonlinear parabolic systems with measurable coefficients initial-oblique derivative problems multiply connected domains |
| 本文献已被 CNKI 万方数据 ScienceDirect 等数据库收录！ |
