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。
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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