PORTUGALIAE MATHEMATICA Vol. 55, No. 2, pp. 219-232 (1998) |
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On the Discretization of Degenerate Sweeping ProcessesM. Kunze and M.D.P. Monteiro MarquesMathematisches Institut der Universität Köln,Weyertal 86, D$\,$-$\,$50931 Köln - GERMANY C.M.A.F. and Faculdade de Ciências da Universidade de Lisboa, Av. Prof. Gama Pinto 2, P$\,$-$\,$1699 Lisboa - PORTUGAL Abstract: We prove existence theorems for evolution equations of the form $-u'(t)\in\partial\delta_{C(t)}(Au(t))$ with some maximal monotone and strongly monotone operator $A: D(A)\to 2^H$. Keywords: Evolution equations; maximal monotone operators; sweeping process; discretization. Classification (MSC2000): 34A60, 35K22 Full text of the article:
Electronic version published on: 29 Mar 2001. This page was last modified: 27 Nov 2007.
© 1998 Sociedade Portuguesa de Matemática
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