本文讨论具有奇性初值u(x,0)=A|x|-μ,x≠0的Cauchy问题ut=△u-| u|puq在Rn×(0,∞)上自相似解的存在性和唯一性,其中A∈[0,∞),2＞p＞0,q＞0以及p=q＞1.我们也证明了该自相似解连续地依赖于初值A.%In this paper we deal with the existence and uniqueness of self-similar solutions to the Cauchy problem of ut = △u- | u | puq in R' × (0, ∞) with nonnegative singular initial valueu(x,0)=A|x|-μ, x≠0, where A∈0,∞) and 2》p》0, q》0, p+q》1. We also prove that the self-similar solutions is continuous depending on the initial value A.
展开▼
