<> "The repository administrator has not yet configured an RDF license."^^ . <> . . "First-order geometric evolutions and semilinear evolution equations : a common mutational approach"^^ . "The primary aim of this Ph.D. thesis is to unify the definition of \"solution\" for completely different types of evolutions. Such a common approach is to lay the foundations for solving systems whose components have their origins in diverse applications. The analytical touchstone of the general character consists of (1.) a semilinear evolution equation in a reflexive Banach space and (2.) a first-order geometric evolution, i.e. a time-dependent compact subset of R^n, whose deformation depends on nonlocal properties of normal cones at the boundary. (No inclusion principle is assumed.) Taking up the widespread idea of derivatives as first-order approximations, distance functions (maybe in a generalized sense) are required and essentially the only tool to use for a general approach beyond vector spaces. Here two concepts are presented, both of which are based on generalizing the mutational equations of Jean-Pierre Aubin (in metric spaces) to a set with a countable family of so-called ostensible metrics (that need not be symmetric)."^^ . "2004" . . . . . . . . "Thomas"^^ . "Lorenz"^^ . "Thomas Lorenz"^^ . . . . . . "First-order geometric evolutions and semilinear evolution equations : a common mutational approach (PDF)"^^ . . . "lorenz_dissertation.pdf"^^ . . . "First-order geometric evolutions and semilinear evolution equations : a common mutational approach (Other)"^^ . . . . . . "lightbox.jpg"^^ . . . "First-order geometric evolutions and semilinear evolution equations : a common mutational approach (Other)"^^ . . . . . . "preview.jpg"^^ . . . "First-order geometric evolutions and semilinear evolution equations : a common mutational approach (Other)"^^ . . . . . . "medium.jpg"^^ . . . "First-order geometric evolutions and semilinear evolution equations : a common mutational approach (Other)"^^ . . . . . . "small.jpg"^^ . . "HTML Summary of #4949 \n\nFirst-order geometric evolutions and semilinear evolution equations : a common mutational approach\n\n" . "text/html" . . . "510 Mathematik"@de . "510 Mathematics"@en . .