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http://hdl.handle.net/10773/5105
Title: | Continuous selections of solution sets to evolution equations |
Author: | Staicu, Vasile |
Issue Date: | 1991 |
Publisher: | American Mathematical Society |
Abstract: | We prove the existence of a continuous selection of the multivalued map £ —»& ~(Ç), where ^"(i) is the set of all weak (resp. mild) solutions of the Cauchy problem x(t)€Ax(t) + F(t,x(t)), x(0)=i, assuming that F is Lipschitzian with respect to x and -A is a maximal monotone map (resp. A is the infinitesimal generator of a C0-semigroup). We also establish an analog of Michael's theorem for the solution sets of the Cauchy problem x(t) € F(t, x(t)), x(0) = £, . |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/5105 |
ISSN: | 0002-9939 |
Publisher Version: | http://www.ams.org/publications/journals/journalsframework/proc |
Appears in Collections: | DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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P9_Proc_AMS_113_1991_403_413.pdf | 841.7 kB | Adobe PDF | View/Open |
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