数値解析・応用解析セミナー

3月8日(木)  15:00 -- 16:00 川越 大輔(京都大学情報学研究科)
             ``Propagation of boundary-induced discontinuity in stationary
               radiative transfer and its application to the diffused 
               optical tomography.''

＜研究発表要旨＞
In this talk, we consider a boundary value problem of the stationary 
transport equation with the incoming boundary condition in a two or three 
dimensional bounded convex domain, and we describe discontinuity of the 
solution arising from discontinuous points of the incoming boundary data, 
which we call the boundary-induced discontinuity. In particular, we show 
propagation of the boundary-induced discontinuity along a positive 
characteristic line starting from the discontinuous point of the incoming
boundary data and also show the exponential decay of the jump of the 
solution on a discontinuous point under suitable assumptions. The 
exponential decay gives an idea for solving an inverse problem to 
determine an unknown coefficient in the stationary transport equation 
from boundary measurement. We remark the inverse problem is related to 
the diffused optical tomography, which is a new medical imaging technology.

●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