On the Lp–Lq maximal regularity for the linear thermoelastic plate equation in a bounded domain |
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| Authors: | Yuka Naito |
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| Institution: | Department of Mathematical Sciences, School of Science and Engineering, Waseda University, Ohkubo 3‐4‐1, Shinjuku‐ku, Tokyo 169‐8555, Japan |
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| Abstract: | This paper is concerned with the thermoelastic plate equations in a domain Ω:  subject to the boundary condition: u| =Dνu| =θ| =0 and initial condition: (u, ut, θ)|t=0=(u0, v0, θ0). Here, Ω is a bounded domain in ?n(n≧2). We assume that the boundary ?Ω of Ω is a C4 hypersurface. We obtain an Lp–Lq maximal regularity theorem. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | thermoelastic plate equations maximal regularity initial boundary value problem bounded domain |
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