Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the diffused optical tomography

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Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the diffused optical tomography

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구분 수치해석 및 응용수학 세미나
일정 2018-05-02(수) 16:30~19:30
세미나실 129동 307호
강연자 Daisuke Kawagoe (인하대학교)
담당교수 신동우
기타
시간 : 5/2 (수) 오후 4:30-5:30 Abstract : We consider a boundary value problem of the stationary transport equation with the incoming boundary condition in two or three dimensional bounded convex domains. We discuss discontinuity of the solution to the boundary value problem arising from discontinuous incoming boundary data, which we call the boundary-induced discontinuity. In particular, we give two kinds of sufficient conditions on the incoming boundary data for the boundary-induced discontinuity. We propose a method to reconstruct attenuation coefficient from jumps in boundary measurements. This is a joint work with I-Kun Chen in National Taiwan University.

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