A VERY SINGULAR SOLUTION OF A DOUBLY DEGENERATE PARABOLIC EQUATION WITH NONLINEAR CONVECTION

- Journal title : Journal of the Korean Mathematical Society
- Volume 47, Issue 4, 2010, pp.789-804
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2010.47.4.789

Title & Authors

A VERY SINGULAR SOLUTION OF A DOUBLY DEGENERATE PARABOLIC EQUATION WITH NONLINEAR CONVECTION

Fang, Zhong Bo;

Fang, Zhong Bo;

Abstract

We here investigate an existence and uniqueness of the nontrivial, nonnegative solution of a nonlinear ordinary differential equation: satisfying a specific decay rate: = 0 with := (p - 1)/[pd-(m+1)(p-1)] and := [q-m(p-1)]/[pd-(m+1)(p-1)]. Here m(p-1) > 1 and m(p - 1) < q < (m+1)(p-1). Such a solution arises naturally when we study a very singular solution for a doubly degenerate equation with nonlinear convection: defined on the half line.

Keywords

very singular solution;existence;uniqueness;asymptotic behavior;

Language

English

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