<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "Radon measures solving the Cauchy problem of the nonlinear transport equation"^^ . "The focus of interest is the Cauchy problem of the nonlinear transport equation d_t u + div (f(u, ·) u) = g(u, ·) u together with its distributional solutions u(·) whose values are positive Radon measures on the Euclidean space with compact support. The coefficients f(u, t), g(u, t) are assumed to be uniformly bounded and Lipschitz continuous vector fields on the Euclidean space. Sufficient conditions on the coefficients for existence, uniqueness and even for stability of these distributional solutions are presented. Starting from the well-known results about the corresponding linear problem, the step towards the nonlinear problem here relies on Aubin's mutational equations, i.e. dynamical systems in a metric space (with a new slight modification)."^^ . "2007" . . . . . . . . "Thomas"^^ . "Lorenz"^^ . "Thomas Lorenz"^^ . . . . . . "Radon measures solving the Cauchy problem of the nonlinear transport equation (PDF)"^^ . . . "Lorenz_nonlinear_transport_equation.pdf"^^ . . . "Radon measures solving the Cauchy problem of the nonlinear transport equation (Other)"^^ . . . . . . "indexcodes.txt"^^ . . . "Radon measures solving the Cauchy problem of the nonlinear transport equation (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "Radon measures solving the Cauchy problem of the nonlinear transport equation (Other)"^^ . . . . . . "preview.jpg"^^ . . . "Radon measures solving the Cauchy problem of the nonlinear transport equation (Other)"^^ . . . . . . "medium.jpg"^^ . . . "Radon measures solving the Cauchy problem of the nonlinear transport equation (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #7252 \n\nRadon measures solving the Cauchy problem of the nonlinear transport equation\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .