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

  Published:2011-05-06
 Printed: Sep 2012
  • Jiaqing Pan,
    Institute of Mathematics, Jimei University, Xiamen, 361021, P. R. China
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Abstract

In this paper, we consider the Cauchy problem $$ \begin{cases} u_{t}=\Delta(u^{m}), &x\in{}\mathbb{R}^{N}, t>0, N\geq3, \\ % ^^----- here u(x,0)=u_{0}(x), &x\in{}\mathbb{R}^{N}. \end{cases} $$ We will prove that: (i) for $m_{c}
Keywords: fast diffusion equations, Cauchy problem, continuous dependence on nonlinearity fast diffusion equations, Cauchy problem, continuous dependence on nonlinearity
MSC Classifications: 35K05, 35K10, 35K15 show english descriptions Heat equation
Second-order parabolic equations
Initial value problems for second-order parabolic equations
35K05 - Heat equation
35K10 - Second-order parabolic equations
35K15 - Initial value problems for second-order parabolic equations
 

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