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On the uniqueness and stability of weak solutions of a fokker-planck-vlasov equation

  • Reimund Rautmann
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 679)

Abstract

In [7] the existence of weak solutions of a Fokker-Planck-Vlasov equation is proved. In this paper, with a little more stringent assumption we show the uniqueness of weak solutions and establish a criterion of (asymptotic) stability against local disturbations.-As a consequence, in the case of uniqueness the Galerkin method used in [7] is a constructive one, i.e. the whole sequence of all Galerkin-approximations converges.

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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • Reimund Rautmann

There are no affiliations available

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