Generalized kinetic equations |
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| Authors: | W Greenberg C V M van der Mee P F Zweifel |
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| Institution: | (1) Laboratory for Transport Theory and Mathematical Physics, Virginia Polytechnic Institute and State University, 24061 Blacksburg, Virginia, USA |
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| Abstract: | We study the abstract differential equation
on a Hilbert space H, which represents a variety of different kinetic equations. T is assumed bounded and self-adjoint on H, and A (unbounded) positive self-adjoint and Fredholm. For partial range boundary conditions and 0 x< , we prove existence and (non-) uniqueness theorems and give representations of the solution. Various examples from neutron transport, radiative transfer of polarized and unpolarized light, and electron transport are given.This paper is dedicated to K.M. Case on the occasion of his sixtieth birthday |
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