scholarly journals Weighted fast diffusion equations (Part Ⅰ): Sharp asymptotic rates without symmetry and symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities

2017 ◽  
Vol 10 (1) ◽  
pp. 33-59 ◽  
Author(s):  
Matteo Bonforte ◽  
◽  
Jean Dolbeault ◽  
Matteo Muratori ◽  
Bruno Nazaret ◽  
...  
Keyword(s):  
Symmetry Breaking ◽  
Diffusion Equations ◽  
Fast Diffusion ◽  
Fast Diffusion Equations

Poincaré inequalities for linearizations of very fast diffusion equations

Nonlinearity ◽  
2002 ◽  
Vol 15 (3) ◽  
pp. 565-580 ◽  
Author(s):  
J A Carrillo ◽  
C Lederman ◽  
P A Markowich ◽  
G Toscani
Keyword(s):  
Diffusion Equations ◽  
Fast Diffusion ◽  
Poincaré Inequalities ◽  
Poincare Inequalities ◽  
Fast Diffusion Equations

Extinction behaviour for fast diffusion equations with absorption

2001 ◽  
Vol 43 (8) ◽  
pp. 943-985 ◽  
Author(s):  
Raúl Ferreira ◽  
Juan Luis Vazquez
Keyword(s):  
Diffusion Equations ◽  
Fast Diffusion ◽  
Fast Diffusion Equations

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

2012 ◽  
Vol 55 (3) ◽  
pp. 623-631
Author(s):  
Jiaqing Pan
Keyword(s):  
Cauchy Problem ◽  
Compact Subset ◽  
Continuous Dependence ◽  
Diffusion Equations ◽  
Fast Diffusion ◽  
The Cauchy Problem ◽  
Image Position ◽  
Fast Diffusion Equations

AbstractIn this paper, we consider the Cauchy problemWe 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

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