Sharp regularity estimates for quasi-linear elliptic dead core problems and applications

2018 ◽  
Vol 57 (3) ◽  
Author(s):  
João Vítor da Silva ◽  
Ariel M. Salort
Keyword(s):  
Dead Core ◽  
Regularity Estimates

Global Attractor of the Liquid Helium-4 System in Hk Space

2013 ◽  
Vol 444-445 ◽  
pp. 731-737
Author(s):  
Zhi Bo Hou ◽  
Li Mei Li
Keyword(s):  
Existence Theorem ◽  
Liquid Helium ◽  
Global Attractor ◽  
Iteration Procedure ◽  
Helium 4 ◽  
Bounded Set ◽  
Regularity Estimates

In this paper, by using an iteration procedure, regularity estimates of the linear semi-groups and a generalized existence theorem of global attractor, we prove that the liquid helium-4 system possesses a global attractor in space for all , which attracts any bounded set of in the-norm.

scholarly journals Regularity of Global Attractor for the Reaction-Diffusion Equation

2012 ◽  
Vol 2012 ◽  
pp. 1-16
Author(s):  
Hong Luo
Keyword(s):  
Sobolev Space ◽  
Diffusion Equation ◽  
Existence Theorem ◽  
Global Attractor ◽  
Reaction Diffusion ◽  
Iteration Procedure ◽  
Reaction Diffusion Equation ◽  
Bounded Subset ◽  
Regularity Estimates ◽  
Regularity Of Global Attractor

By using an iteration procedure, regularity estimates for the linear semigroups, and a classical existence theorem of global attractor, we prove that the reaction-diffusion equation possesses a global attractor in Sobolev spaceHkfor allk>0, which attracts any bounded subset ofHk(Ω) in theHk-norm.

Regularity Estimates for Nonlinear Elliptic and Parabolic Problems

2012 ◽  
Author(s):  
John Lewis ◽  
Peter Lindqvist ◽  
Juan J. Manfredi ◽  
Sandro Salsa
Keyword(s):  
Parabolic Problems ◽  
Nonlinear Elliptic ◽  
Regularity Estimates
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