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EXISTENCE,UNIQUENESS AND PROPERTIES OF THE SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION WITH DIFFUSION-ADVECTION-ABSORPTION
引用本文:宋斌恒. EXISTENCE,UNIQUENESS AND PROPERTIES OF THE SOLUTIONS OF A DEGENERATE PARABOLIC EQUATION WITH DIFFUSION-ADVECTION-ABSORPTION[J]. 应用数学学报(英文版), 1994, 10(2): 113-140. DOI: 10.1007/BF02006112
作者姓名:宋斌恒
作者单位:Department of Applied Mathematics,Tsinghua University,Beijing 100084,China
摘    要:EXISTENCE,UNIQUENESSANDPROPERTIESOFTHESOLUTIONSOFADEGENERATEPARABOLICEQUATIONWITHDIFFUSION-ADVECTION-ABSORPTION¥SONGBINHENG(宋...


Existence,uniqueness and properties of the solutions of a degenerate parabolic equation with diffusion-advection-absorption
Binheng Song. Existence,uniqueness and properties of the solutions of a degenerate parabolic equation with diffusion-advection-absorption[J]. Acta Mathematicae Applicatae Sinica, 1994, 10(2): 113-140. DOI: 10.1007/BF02006112
Authors:Binheng Song
Affiliation:1. Department of Applied Mathematics, Tsinghua University, 100084, Beijing, China
Abstract:This paper deals with the problems on the equation in the following three aspects: i) The existence of a continuous weak solution for the Cauchy problem, Cauchy-Dirichlet problem and the first boundary and initial values problem, ii) the uniqneness of the the solutions of the above mentioned three problems, iii) the properties of the solutions. The study on this equation, which has many backgrounds such as the filtrations in porous media as water in soil, is itself important in mathematics as well as in practice.
Keywords:Existence  uniqueness  degenerate parabolic equation
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