Spectral properties of the neutron transport equation |
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| Authors: | Jürgen Voigt |
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| Institution: | Mathematisches Institut der Universität München, Theresienstr. 39, D-8000 München 2, Federal Republic of Germany |
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| Abstract: | The general equation describing the steady-state flow through a porous column is λu ? DxA(Dx?(u) + G(u)) = f, where λ is a nonnegative constant. In this paper existence, uniqueness and comparison results for solutions to the Dirichlet and mixed boundary value problems associated with this equation are proven. The existence of a weak solution to the evolution problems associated with the equation ut = Dx(Dx?(u) + G(u)) are deduced. |
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