manuscripta mathematica

, Volume 39, Issue 2–3, pp 155–172 | Cite as

A parabolic-elliptic variational inequality

  • Ulrich Hornung


An existence and uniqueness result is proved for a variational inequality of evolution. The problem consists of a nonlinear parabolic/elliptic differential equation for which Dirichlet, Neuman and Signorini boundary conditions are posed. The existence is obtained using a regularization process, while uniqueness is based on L1-contractiveness of the solution semigroup.


Porous Medium Weak Solution Variational Inequality Bibliographical Note Regularization Process 
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Copyright information

© Springer-Verlag 1982

Authors and Affiliations

  • Ulrich Hornung
    • 1
  1. 1.Institut für Numerische und instrumenteile MathematikMünster

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