A parabolic-elliptic variational inequality
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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.
KeywordsPorous Medium Weak Solution Variational Inequality Bibliographical Note Regularization Process
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