On the Lp–Lq maximal regularity for the linear thermoelastic plate equation in a bounded domain

✍ Scribed by Yuka Naito

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 261 KB
• Volume: 32
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1100

✦ Synopsis

Abstract

This paper is concerned with the thermoelastic plate equations in a domain Ω:

subject to the boundary condition: u|=D~ν~u|=θ|=0 and initial condition: (u, u~t~, θ)|~t=0~=(u~0~, v~0~, θ~0~). Here, Ω is a bounded domain in ℝ^n^(n≧2). We assume that the boundary ∂Ω of Ω is a C^4^ hypersurface. We obtain an L~p~–L~q~ maximal regularity theorem. Copyright © 2008 John Wiley & Sons, Ltd.