数値解析・応用解析セミナー

3月28日(木) 15:00 -- 16:00  申 東雨（Seoul 国立大学数学教室, 大韓民国）
            ``$L^p$ estimates of the solution of heterogeneous
              Maxwell's equations.''

 ＜研究発表要旨＞
We consider time-harmonic Maxwell's equations in a bounded, nearly 
periodic, heterogeneous domain. A period in the domain represents 
two different type of materials. In the period, one type of material 
is assumed to be embedded in a surrounding periodic domain. The 
ratios between the electric permittivity and magnetic permeability 
in one region and those in the other are assumed to have high contrast.
The homogenization problem for Maxwell's equations has been considered 
by several authors. In this talk, we report $L^p$ estimates which 
are uniform in the contrast ratio, the size of embedded material, 
and the size of period. For some restricted cases, the regularity 
of the solution of Maxwell's equations have been investigated by
Giovanni,Bao, Bonito etc.

●セミナー室: 京都大学 総合研究12号館 2階203号
              （応用解析学講座セミナー室）

●総合研究12号館はキャンパスマップでは「京都大学本部構内 54番建物」です。
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セミナー連絡先: 京都大学大学院 情報学研究科 先端数理科学専攻
                 磯 祐介    e-mail; iso@i.kyoto-u.ac.jp