Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection

被引：0

作者：

ZhongBo Fang

Daxiong Piao

Jian Wang

机构：

[1] Ocean University of China,School of Mathematical Sciences

来源：

Boundary Value Problems | / 2009卷

关键词：

Differential Equation; Partial Differential Equation; Ordinary Differential Equation; Functional Equation; Parabolic Equation;

D O I：

暂无

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学科分类号：

摘要：

We here investigate the existence and uniqueness of the nontrivial, nonnegative solutions of a nonlinear ordinary differential equation: [inline-graphic not available: see fulltext] satisfying a specific decay rate: [inline-graphic not available: see fulltext] with [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext]. Here [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext]. Such a solution arises naturally when we study a very singular self-similar solution for a degenerate parabolic equation with nonlinear convection term [inline-graphic not available: see fulltext] defined on the half line [inline-graphic not available: see fulltext].

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