| 具强退化性的一般渗流方程分界面的存在性 |
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| 引用本文： | 袁洪君.具强退化性的一般渗流方程分界面的存在性[J].东北数学,2002,18(4):367-374. |
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| 作者姓名： | 袁洪君 |
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| 作者单位： | institute of Mathematics，Jilin University，Changchun，130012 |
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| 基金项目： | Project supported by the Teaching and Research Award Found for Outstanding Young Teachers in Higher Education Institutions of MOE ([2000]26)，China and the NNSF (1001015) of China |
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| 摘 要： | The aim of this paper is to discuss the Cauchy problem for quasilinear degenerate parabloic equations of the form ut-△φ（u） N↑∑i=1aψi(u)/axi=0,where φ∈ C^1(R^1) is a strictly monotonically increasing function.Clearly,the above equation has strong degeneracy,i.e.,the set of zero points of φ′(.)is permitted to have zero measure.In particular,the existence of interfaces of solutions is obtained.
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| 关 键 词： | 存在性 一般渗流方程 分界面 强退化性 Cauchy问题 拟线性退化抛物方程 弱解 |
The Existence of Interfaces for General Porous Medium Equations with Strong Degeneracy |
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| YUAN Hongjun.The Existence of Interfaces for General Porous Medium Equations with Strong Degeneracy[J].Northeastern Mathematical Journal,2002,18(4):367-374. |
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| Authors: | YUAN Hongjun |
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| Institution: | InstituteofMathematics,JilinUniversity,Changchum,130012 |
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| Abstract: | |
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| Keywords: | Weak solution quasilinear degenerate parabolic equation interface |
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