The Continuous Dependence on the Nonlinearities of Solutions of Fast Diffusion Equations

摘要

In this paper, we consider the Cauchy problem $$ egin{cases} u_{t}=Delta(u^{m}), &xin{}mathbb{R}^{N}, t>0, Ngeq3, % ^^----- here u(x,0)=u_{0}(x), &xin{}mathbb{R}^{N}. end{cases} $$ We will prove that: (i) for $m_{c}