Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection
© Zhong Bo Fang et al. 2009
Received: 22 October 2008
Accepted: 8 April 2009
Published: 5 May 2009
We here investigate the existence and uniqueness of the nontrivial, nonnegative solutions of a nonlinear ordinary differential equation: satisfying a specific decay rate: with and . Here and . Such a solution arises naturally when we study a very singular self-similar solution for a degenerate parabolic equation with nonlinear convection term defined on the half line .
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