数値解析・応用解析セミナー

4月19日(木)  15:00 -- 16:00 王 振男 (中華民国, 国立台湾大学)
             ``Unique continuation property for the isotropic 
               elasticity system with rough coefficients.''

＜研究発表要旨＞
Unique continuation properties (UCP) for elliptic equations or systems, 
both qualitative and quantitative, are useful in many problems including
inverse problems.  For scalar equations even with rough coefficients, the
UCP has been well investigated. For systems, due to coupling effect, the
UCP is less understood. In this talk, I would like to discuss the UCP for
the isotropic elasticity system (or the Lame system). I will focus on the
regularity of the Lame coefficients. When the coefficients are Lipschitz,
one is able to decouple the system and the UCP follows immediately. 
Motivated by the UCP for the scalar equations with essentially bounded
coefficients in the plane, we want to know whether the UCP for the
isotropic elasticity system still holds if the regularity of the Lame
coefficients is below Lipschitz.  I will present some positive and
negative results. It should be pointed out that the typical Carleman
method is not applicable when the coefficients are rough.

●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。

本講演は3月16日のセミナーとして一旦ご案内しておりましたが、急な航空機の
事情で講演がキャンセルとなっておりましたものです。

-------------------------------------------------------------
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