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多维拟线性蜕化抛物型方程广义解的存在唯一性
EXISTENCE AND UNIQUENESS OF THE GENERALIZED SOLUTION OF MULTI—DIMENSIONAL QUASILINEAR PARABOLIC EQUATIONS
【摘要】 本文研究了下列多维拟线性蜕化抛物型方程的第一边值问题广义解的存在唯一性a(u)=△u+b(u)·▽u,uΣ=Ψ(s,t),ut=0=u0(x),这里a(s)、b(s)、φ(s,t)、u0(x)有界可测。
【Abstract】 In this paper we consider existence and uniqueness of the general-ized solution of the first boundary value problem for the followingmulti-dimensional quasilinear degenerate parabolic equationsa(u)(u)/(t)=△u+b(u)·▽u,u|Σ=(s,t),u|t=ux, where a(s)、b(s)uare bounded and measurable.
【关键词】 多维拟线性蜕化抛物型方程;
广义解;
存在性;
唯一性;
【Key words】 multi-dimensional quasilinear degenerate parabolic equation; generalized solution; existence; uniqueness;
【Key words】 multi-dimensional quasilinear degenerate parabolic equation; generalized solution; existence; uniqueness;
- 【文献出处】 山东大学学报(自然科学版) ,Journal of Shandong University , 编辑部邮箱 ,1987年02期
- 【被引频次】1
- 【下载频次】6