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Fixpunktprinzipien und Freie Randwertaufgaben

  • K. -H. Hoffmann
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 878)

Abstract

It is the aim of this paper to give some insight how fixed point principles work to develop results in pure analytical as well as in numerical respect on the field of free boundary problems for partial differential equations. In the beginning a series of examples is presented where free boundaries become involved in all three classical types of partial differential equations elliptic, hyperbolic and parabolic. Later on equations of parabolic type only are studied in detail. It is shown how Schauder's fixed point theorem can be applied to prove existence in melting problems as well as in a model describing the mixture of different fluids. Numerical experiments confirm that these methods can also be useful to obtain practical results.

Keywords

Free Boundary Problem Melting Problem Fixed Point Principle Parabolic Free Boundary Problem Hyperbolic Free Boundary Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • K. -H. Hoffmann
    • 1
  1. 1.Institut für Mathematik IIIFreie Universität BerlinBerlin 33

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