On certain convex compatifications for relaxation in evolution problems

Abstrakt

A general-topological construction of limits of inverse systems is applied to convex compactifications and furthermore to special convex compactifications of Lebesgue-space-valued functions parameterized by time. Application to relaxation of quasistatic evolution in phase-change-type problems is outlined.

Klíčová slova

• convex compatifications
• relaxation
• evolution problems