A unique continuation result for the plate equation and an application

2014/04/22 by Zehra Arat, Azer Khanmamedov, Arat, Zehra +3
Mathematics · #35B41 #35B60 #35L05 #35L30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B41 #msc:35B60 #msc:35L05 #msc:35L30

paper · pdf · doi:10.48550/arxiv.1404.5586

19 pages

arxiv created 2014/07/06 · arxiv updated 2014/07/08

Abstract

In this paper, we prove the unique continuation property for the weak solution of the plate equation with non-smooth coefficients. Then, we apply this result to study the global attractor for the semilinear plate equation with a localized damping.

Related

• Existence of the global attractor for the plate equation with nonlocal nonlinearity in Rⁿ
• Long-time dynamics of the strongly damped semilinear plate equation in ℝⁿ
• Global attractors for the plate equation with nonlocal nonlinearity in unbounded domains
• Exponential decay of solutions for the plate equation with localized damping
• Stabilization and control of the nonlinear plate equation