The Continuous Dependence on the Nonlinearities of Solutions of Fast Diffusion Equations
Jiaqing Pan · Canadian Mathematical Bulletin · 2011
Abstract In this paper, we consider the Cauchy problem We will prove that (i) for mc < m,m0 < 1, |u(x, t, m)–u(x, t, m0)| → 0 as m → m0 uniformly on every compact subset of ℝN × ℝ+, where ; (ii) there is a C* that explicitly depends on m such that