Copyright © 2009 Zongqi Liang and Huashui Zhan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
By Oleinik's line method, we study the existence and the uniqueness of the classical
solution of the Cauchy problem for the following equation in : , provided that is suitable small. Results of numerical experiments
are reported to demonstrate that the strong solutions of the above
equation may blow up in finite time.