非齐性曲率方程自相似解的非唯一性

摘要

We obtain multiplicity results for self-similar solutions of the generalizedanisotropic flow V = bk1/0 by computing some error estimates and reducing it to two-dimensionalproblem. In Liapunov-Schimildt ruduction frame work, where b ＞ 0 and o is close to 3. This isin contrast with the uniqueness result obtained by Gage for the case a = 1 .%本文在Liapunov-Schimildt约简框架计算一些误差估计,并把相应问题转化成二维问题.从而证明了对非齐性曲率流v=bk1/a,b＞0当σ很接近3时,有多个自相似解.从而说明了Gage证明的σ=1的唯一性结果不能推广到一般的σ情形.