Global Attractors for Autonomous Evolution Equations

2012 ◽  
pp. 17-23
Author(s):  
Messoud Efendiev
Keyword(s):  
Evolution Equations ◽  
Global Attractors ◽  
Autonomous Evolution

scholarly journals Asymptotic Smoothing and Global Attractors for a Class of Nonlinear Evolution Equations

2013 ◽  
Vol 2013 ◽  
pp. 1-10
Author(s):  
Yongqin Xie ◽  
Zhufang He ◽  
Chen Xi ◽  
Zheng Jun
Keyword(s):  
Evolution Equations ◽  
Global Solutions ◽  
Global Attractors ◽  
Nonlinear Evolution Equations ◽  
Time Behavior ◽  
Asymptotic Regularity ◽  
Compact Attractor ◽  
Long Time ◽  
Critical Exponential Growth ◽  
Semilinear Evolution Equations

We prove the asymptotic regularity of global solutions for a class of semilinear evolution equations in H01(Ω)×H01(Ω). Moreover, we study the long-time behavior of the solutions. It is proved that, under the natural assumptions, these equations possess the compact attractor 𝒜 which is bounded in H2(Ω)×H2(Ω), where the nonlinear term f satisfies a critical exponential growth condition.

scholarly journals Period estimates for autonomous evolution equations with Lipschitz nonlinearities

2022 ◽  
Vol 309 ◽  
pp. 650-675
Author(s):  
Aleksander Ćwiszewski ◽  
Władysław Klinikowski
Keyword(s):  
Evolution Equations ◽  
Autonomous Evolution

scholarly journals Operator splitting for non-autonomous evolution equations

2011 ◽  
Vol 260 (7) ◽  
pp. 2163-2190 ◽  
Author(s):  
András Bátkai ◽  
Petra Csomós ◽  
Bálint Farkas ◽  
Gregor Nickel
Keyword(s):  
Evolution Equations ◽  
Operator Splitting ◽  
Autonomous Evolution

On the maximal regularity for perturbed autonomous and non-autonomous evolution equations

2019 ◽  
Vol 20 (1) ◽  
pp. 165-190 ◽  
Author(s):  
Ahmed Amansag ◽  
Hamid Bounit ◽  
Abderrahim Driouich ◽  
Said Hadd
Keyword(s):  
Evolution Equations ◽  
Maximal Regularity ◽  
Autonomous Evolution

scholarly journals Maximal regularity for non-autonomous evolution equations

2015 ◽  
Vol 363 (3-4) ◽  
pp. 1117-1145 ◽  
Author(s):  
Bernhard H. Haak ◽  
El Maati Ouhabaz
Keyword(s):  
Evolution Equations ◽  
Maximal Regularity ◽  
Autonomous Evolution
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