On parabolic hemivariational inequalities and applications. (English) Zbl 0923.35089

This paper deals with parabolic hemivariational and parabolic variational-hemivariational inequalities. The authors prove existence results for problems having nonmonotone behaviour on the boundary and for problems involving convex functionals or constraints. The proofs are based on Galerkin’s method and regularization techniques.
As applications are discussed dynamic nonconvex semipermeability problems and rigid viscoplastic laminar flow problems in cylindrical pipes with adhesion or nonmonotone friction.
Reviewer: M.A.Vivaldi (Roma)


35K85 Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators
49J40 Variational inequalities
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