Whither existence theory?

B. L. Willis Center for Transport Theory and Pathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061

P. F. Zweifel Center for Transport Theory and Pathematical Physics, Virginia Polytechnic Institute and State University, Blacksburg, VA, 24061

C. V. M. van der Mee Department of Mathematics, Texas Tech University, Lubbock, TX, 79409

Abstract

It is sugested that in certain cases the Fredholm alernativ theorem can be-used to simplify existence proofs in time-independent linear transport theory. Existing results in abstract kinetic equations theory are generalized as to encompass polarized light transfer as well as certain inhomogeneous finite slab media.

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Whither existence theory?

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