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Solutions of the nonlinear diffusion equation : existence, uniqueness, and estimation

Knight, John Howard; Izumi, Masako


In the first part of the thesis a problem for the nonlinear diffusion equation with diffusion coefficient a function of concentration, which is reduced by a similarity substitution to a boundary value problem for a nonlinear ordinary differential equation, is considered. Existence of a solution with certain upper and lower bounds is demonstrated for diffusion coefficient satisfying a local Lipschitz condition, and uniqueness is proved for non-increasing diffusion coefficient. An...[Show more]

CollectionsOpen Access Theses
Date published: 1973
Type: Thesis (PhD)
DOI: 10.25911/5d70ebb0d0b4a


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