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Description: |
Evolution problems governed by maximal monotone operators with domains that depend on time are present in many areas.
The special case of the sweeping process, where the operators are normal cones to time-dependent convex moving sets, was treated by Jean Jacques Moreau in the seventies, in view of applications to mechanics, and afterwards it has been the object of several extensions, including by the speaker.
Two cases will be considered: the sweeping process by continuous moving sets (either convex or more generally prox-regular) and general evolution problems by time-dependent operators, their bounded variation being measured by means of the so-called Vladimirov pseudo-distance. Literature on the subject has grown recently and will be mentioned briefly, if time allows.
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