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Applied Nonlinear Functionalanalysis

Variational Methods and Ill-Posed Problems


Rudolf Gorenflo and Karl-Heinz Hoffmann

Contents: The articles on free boundary problems cover classical as well as variational methods. Models of melting and solidification processes are presented including new concepts of mushy regions and other refinements such as convection and degenerations. Nonstandard optimal control problems were considered and numerical algorithms via discretisation proposed. Convergence rates in approximation schemes for identification procedures are proved.