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- Open Access
Existence and Uniqueness of Very Singular Solution of a Degenerate Parabolic Equation with Nonlinear Convection
Boundary Value Problems volume 2009, Article number: 415709 (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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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
- Differential Equation
- Partial Differential Equation
- Ordinary Differential Equation
- Functional Equation
- Parabolic Equation