Transport equation in the case of a point source at the center of a ball (Q2836612)

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scientific article; zbMATH DE number 6183467
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Transport equation in the case of a point source at the center of a ball
scientific article; zbMATH DE number 6183467

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    3 July 2013
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    radiation transfer equations
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    integral equation
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    existence and uniqueness theorem
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    Transport equation in the case of a point source at the center of a ball (English)
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    Isotropic scattering of a radiation in a homogeneous sphere is examined. The radiation point source is at the centre of the sphere. The source function satisfies an integral equation over a finite interval with a sum-difference kernel, and a non-integrable free term. The existence and uniqueness of the solution is proved.
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