数値解析・応用解析セミナー 2月16日(木) 15:00 -- 16:00 王 振男 (台湾大学、中華民国) ``Positive and negative results of the unique continuation property for the elasticity system'' <研究発表要旨> In this talk I would like to discuss the unique continuation property (UCP) for the elasticity system. The focus is to understand how the regularity of the coefficients affects the UCP. I will first review some positive results of the strong unique continuation property (SUCP) for the isotropic elasticity, i.e., the Lame system. For the isotropic and the anisotropic elasticity systems with measurable coefficients, under certain conditions on coefficients, we show that the global unique continuation property holds. On the other hand, for the anisotropic system, if the coefficients are Lipschitz, we can prove that the global unique continuation is satisfied for a more general class of media. In addition to the positive results, I also want to present counterexamples to UCP and SUCP for general second elliptic systems. ●セミナー室: 京都大学 総合研究12号館 2階203号室 (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。 ------------------------------------------------------------- セミナー連絡先: 京都大学大学院 情報学研究科 複雑系科学専攻 磯 祐介 e-mail; iso@i.kyoto-u.ac.jp