Acta mathematica scientia,Series B ›› 2003, Vol. 23 ›› Issue (1): 67-73.

• Articles • Previous Articles     Next Articles

INITIAL-OBLIQUE DERIVATIVE PROBLEMS FOR NONLINEAR PARABOLIC SYSTEMS WITH MEASURABLE COEFFICIENTS

 WEN Guo-Chun, XU Zuo-Liang   

  1. School of Mathematical Sciences, Peking University, Beijing 100871, China Information School, Renmin University of China, Beijing 100872, China
  • Online:2003-01-06 Published:2003-01-06

Abstract:

This paper deals with some initial-oblique derivative boundary value problems for nonlinear nondivergent parabolic systems of several second order equations with mea-surable 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.

Key words: Nonlinear parabolic systems with measurable coefficients, initial-oblique derivative problems, multiply connected domains

CLC Number: 

  • 35K45
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