【摘 要】
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In this article,we study the system with boundary degeneracy uit-div(a(x)｜▽ui｜pi-2▽ui) =fi(x,t,u1,u2),(x,t) ∈ΩT.Applying the monotone iterattion technique and
【机 构】
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School of Applied Mathematics, Xiamen University of Technology, Xiamen 361024,China
论文部分内容阅读
In this article,we study the system with boundary degeneracy uit-div(a(x)｜▽ui｜pi-2▽ui) =fi(x,t,u1,u2),(x,t) ∈ΩT.Applying the monotone iterattion technique and the regularization method,we get the existence of solution for a regularized system.Moreover,under an integral condition on the coefficient function a (x),the existence and the uniqueness of the local solutions of the system is obtained by using a standard limiting process.Finally,the stability of the solutions is proved without any boundary value condition,provided a (x) satisfies another restriction.
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