Acta mathematica scientia,Series B ›› 1986, Vol. 6 ›› Issue (2): 133-148.

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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

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].

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