Existence of solutions for convex sweeping processes in p-uniformly smooth and q-uniformly convex Banach spaces
We show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our resultis proved under a weaker assumption on the moving set than those in [3], and using a different discretization.
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| Format: | Article |
| Language: | English |
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Texas State University
2012-10-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/168/abstr.html |
| Summary: | We show the existence of at least one Lipschitz solution for extensions of convex sweeping processes in reflexive smooth Banach spaces. Our resultis proved under a weaker assumption on the moving set than those in [3], and using a different discretization. |
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| ISSN: | 1072-6691 |