Abstract

In this paper, the existence of solutions to a class of non-standard sweeping processes of the form −u′(t)∈∂δC(t)(Au(t))-u'(t) \in \partial\delta_{C(t)}(Au(t)) is established. In contrast to the “classical” sweeping process with A = id, these problems may be degenerated, since there might be no solutions at all.

Author information

Contact details are reproduced from the original publication and may be historical.

M. Kunze

Mathematisches Institut der Universität Köln, Weyertal 86, D-50931 Köln, Germany.

Manuel D.P. Monteiro Marques

C.M.A.F. and Faculdade de Ciências da Universidade de Lisboa, Av. Prof. Gama Pinto 2, P-1699 Lisboa, Portugal.

Keywords

  • elastoplasticity
  • sweeping process

Suggested citation

M. Kunze, M. D. P. Monteiro Marques. “Existence of Solutions for Degenerate Sweeping Processes.” Journal of Convex Analysis 4 (1997), No. 1, 165–176. https://doi.org/10.68381/jca04008

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Published by Heldermann Verlag, 1997. Rights now held by Banach Press.