Propagation of boundary-induced discontinuity in stationary radiative transfer and its application to the optical tomography
| Autor: | Daisuke Kawagoe, I-Kun Chen |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Control and Optimization X-ray transform Mathematical analysis Boundary (topology) Discontinuity (linguistics) Mathematics - Analysis of PDEs Integro-differential equation Modeling and Simulation Bounded function FOS: Mathematics Radiative transfer 35R09 35R30 35Q60 Discrete Mathematics and Combinatorics Pharmacology (medical) Boundary value problem Convection–diffusion equation Analysis Analysis of PDEs (math.AP) |
| Zdroj: | Inverse Problems & Imaging. 13:337-351 |
| ISSN: | 1930-8345 |
| DOI: | 10.3934/ipi.2019017 |
| Popis: | 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. 19 pages |
| Databáze: | OpenAIRE |
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