The structure of the fundamental solution of the time-independent transport equation (Q1269078)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The structure of the fundamental solution of the time-independent transport equation |
scientific article; zbMATH DE number 1217021
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The structure of the fundamental solution of the time-independent transport equation |
scientific article; zbMATH DE number 1217021 |
Statements
The structure of the fundamental solution of the time-independent transport equation (English)
0 references
7 October 1999
0 references
The goal of the author is to give a precise representation of the fundamental solution of the time-independent one-speed transport equation. In the representation there appear different terms which describe the singularities of the fundamental solution. The representation is obtained by studying a corresponding integral equation and constructing the solution by a Neumann series. The singular terms contain some information about the medium. The author announces that these information can be used for solving ``inverse problems'' for the transport equation, e.g., for solving the \(X\)-ray tomography in scattering media problem.
0 references
\(X\)-ray tomography in scattering media problem
0 references
singularities of the fundamental solution
0 references
Neumann series
0 references
0 references
0 references
