[PDF][PDF] Extinction for fast diffusion equations with nonlinear sources.

Y Li, J Wu - Electronic Journal of Differential Equations (EJDE) …, 2005 - eudml.org
We establish conditions for the extinction of solutions, in finite t ime, of the fast diffusion
problem ut=∆ um+ λup, 0< m< 1, in a bounded domain of RN with N> 2. More precisely, we …

Asymptotic behavior for the fast diffusion equation with absorption and singularity

C Xie, S Fang, M Mei, Y Qin - Journal of Differential Equations, 2025 - Elsevier
This paper is concerned with the weak solution for the fast diffusion equation with absorption
and singularity in the form of ut=△ um− u p. We first prove the existence and decay estimate …

Extinction for a couple of fast diffusion systems with nonlinear sources

Y Chen, J Wang, H Zhang - Nonlinear Analysis: Real World Applications, 2013 - Elsevier
In this article, the authors establish conditions for the extinction of solutions, in finite time, of a
class of fast diffusion system ut= Δum+ vp, vt= Δvn+ uq with 0< m, n< 1, p, q> 0, in a bounded …

[PDF][PDF] Extinction and decay estimates of solutions for a class of porous medium equations

W Liu, M Wang, B Wu - Journal of Inequalities and Applications, 2007 - Springer
The extinction phenomenon of solutions for the homogeneous Dirichlet boundary value
problem of the porous medium equation, is studied. Sufficient conditions about the extinction …

[PDF][PDF] Spatial Growth: The Distribution of Capital across Locations when Saving Rates are Exogenous

A Xepapadeas, A Yannacopoulos, A Ioannidis - 2014 - wpa.deos.aueb.gr
Economic growth has traditionally been analyzed in the temporal domain, while the spatial
dimension is captured by cross-country income differences. Data suggest great inequality in …

On the unique solvability of a nonlinear reaction-diffusion model with convection

JR Anderson - Journal of mathematical analysis and applications, 2001 - Elsevier
Nonnegative solutions of a general reaction-diffusion model with convection are known to
be unique if the reaction, convection, and diffusion terms are all Lipschitz continuous with …

[引用][C] 具有非线性源的快扩散方程组解的熄灭

汪小苹, 崔泽建 - 西华师范大学学报: 自然科学版, 2015

[引用][C] 具非线性源快扩散方程组解的熄灭

刘令, 王国铭, 朱立勋 - 吉林大学学报: 理学版, 2013