Existence of the global attractor for the plate equation with nonlocal nonlinearity in Rⁿ

2015/03/31 by Azer Khanmamedov, Khanmamedov, Azer, Sema Simsek +1
Engineering · Mathematics · #35B41 #35G20 #74K20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #math.AP #msc:35B41 #msc:35G20 #msc:74K20

paper · pdf · doi:10.48550/arxiv.1503.09123

arxiv created 2015/03/31 · openalex publication_date 2015/03/31 · arxiv updated 2015/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider Cauchy problem for the semilinear plate equation with nonlocal nonlinearity. Under mild conditions on the damping coefficient, we prove that the semigroup generated by this problem possesses a global attractor.

Citations

• Global attractors for von Karman equations with nonlinear interior dissipation

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