Einladung zu einem Vortrag von:
Prof. Dr. Martin Brokate
TU München
Donnerstag, 23. Jänner 2003,
15:30 Uhr, T 911
On uniqueness in evolution quasivariational inequalities
We consider a rate independent evolution quasivariational inequality
in a Hilbert space X with closed convex constraints having nonempty
interior. We prove that there exists a unique solution which is
Lipschitz dependent on the data, if the gradient of the square
of the Minkowski functional of the convex constraint is Lipschitz
continuous, and if the overall Lipschitz constant is small enough.
We exhibit an example of nonuniqueness if this condition is
violated. The result aims at applications to elastoplastic
constitutive laws where the yield surface depends on the loading
history in a more complex manner than in the classical isotropic
and kinematic hardening.
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