Summary
A class of parabolic variational inequalities is investigated, where: the unilateral constraints concern the time derivative of the unknown function; degeneracies or singularities with respect to the time variable are considered. Some general abstract existence and uniqueness results are proved, in the natural framework of suitable weighted spaces.
Sunto
Si studia una classe di disequazioni variazionali paraboliche, dove: i vincoli unilaterali riguardano la derivata rispetto al tempo delta funzione incognita; vengono considerate singolarità e degenerazioni rispetto alla variabile temporale. Si dimostrano alcuni risultati generali di esistenza ed unicità, nell'ambito naturale di opportuni spazi con peso.
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This work was supported in part by the «G.N.A.F.A. del C.N.R.», and by the «Ministero dell'Università e della Ricerca Scientifica» (through 60% and 40% grants).
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Luterotti, F. On some degenerate evolution variational inequalities. Annali di Matematica pura ed applicata 165, 239–260 (1993). https://doi.org/10.1007/BF01765851
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DOI: https://doi.org/10.1007/BF01765851