Strongly nonlinear parabolic variational inequalities.
An existence and uniqueness result is established for a general class of variational inequalities for parabolic partial differential equations of the form partial differentialu/ partial differentialt + A(u) + g(u) = f with g nondecreasing but satisfying no growth condition. The proof is based upon a type of compactness result for solutions of variational inequalities that should find a variety of other applications.
Department of Mathematics, University of Chicago, Chicago, Illinois 60637.
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Browder
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Brézis