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1Parabolic System Related to the P-Laplician with Degeneracy on the Boundary显示文摘In this article,we study the system w让h boundary degeneracy wit-div(a(x)|s■ui|Pi^-2■ui)=fi(x,t,u1,u2),(x,t)∈T.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 cond让ion,provided a(x)satisfies another restriction.OU Qnitdong ZHAN Huashui 2019Journal of Partial Differential Equations2019,32,3:0
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