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  • Research Article
  • Open Access

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

Boundary Value Problems20092009:415709

  • Received: 22 October 2008
  • Accepted: 8 April 2009
  • Published:


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 .


  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Parabolic Equation

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Authors’ Affiliations

School of Mathematical Sciences, Ocean University of China, Qingdao, 266-071, China