Skip to main content
Boundary Value Problems
Download PDF

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

Boundary Value Problems volume 2009, Article number: 415709 (2009) Cite this article

Abstract

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 .

Publisher note

To access the full article, please see PDF.

Author information

Authors and Affiliations

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

    ZhongBo Fang, Daxiong Piao & Jian Wang

Authors
  1. ZhongBo Fang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daxiong Piao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to ZhongBo Fang.

Rights and permissions

Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and permissions

About this article

Cite this article

Fang, Z., Piao, D. & Wang, J. Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection. Bound Value Probl 2009, 415709 (2009). https://doi.org/10.1155/2009/415709

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1155/2009/415709

Keywords