数学物理学报(英文版) ›› 1986, Vol. 6 ›› Issue (2): 133-148.

• 论文 • 上一篇    下一篇

THE BOUNDARY VALUE PROBLEMS FOR THE HIGHER ORDER QUASILINEAR PARABOLIC AND ELLIPTIC SYSTEMS SATISFYING GENERAL BOUNDARY CONDITIONS

张功安   

  1. Department of Mathematics, Jilin University, Changchun, China
  • 收稿日期:1984-01-26 出版日期:1986-06-25 发布日期:1986-06-25

THE BOUNDARY VALUE PROBLEMS FOR THE HIGHER ORDER QUASILINEAR PARABOLIC AND ELLIPTIC SYSTEMS SATISFYING GENERAL BOUNDARY CONDITIONS

Zhang Gong'an   

  1. Department of Mathematics, Jilin University, Changchun, China
  • Received:1984-01-26 Online:1986-06-25 Published:1986-06-25

摘要: In this paper, the existence and uniqueness of the boundary value problems for the higher order quasilinear parabolic systems
∂u/∂t-∑|β|-2b A(β)(x,t)(-iDx)βu=f(x,t,u,Dxu,…,Dx2b-1u),(x,t)∈QT=Ω×(0,T].

Abstract: In this paper, the existence and uniqueness of the boundary value problems for the higher order quasilinear parabolic systems
∂u/∂t-∑|β|-2b A(β)(x,t)(-iDx)βu=f(x,t,u,Dxu,…,Dx2b-1u),(x,t)∈QT=Ω×(0,T].