Expand all
Collapse all
|
Results 1 - 2 of 2 |
1. CMB 2011 (vol 55 pp. 623)
|
The Continuous Dependence on the Nonlinearities of Solutions of Fast Diffusion Equations 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 Categories:35K05, 35K10, 35K15 |
2. CMB 2011 (vol 55 pp. 3)
|
On a Local Theory of Asymptotic Integration for Nonlinear Differential Equations We improve several recent results in the
asymptotic integration theory of nonlinear ordinary differential
equations via a variant of the method devised by J. K. Hale and
N. Onuchic The results
are used for investigating the existence of positive solutions to
certain reaction-diffusion equations.
Keywords:asymptotic integration, Emden-Fowler differential equation, reaction-diffusion equation Categories:34E10, 34C10, 35Q35 |