Please use this identifier to cite or link to this item:
|Title:||Continuous selections of solution sets to evolution equations|
|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) = £, .|
|Appears in Collections:||DMat - Artigos|
Files in This Item:
|P9_Proc_AMS_113_1991_403_413.pdf||841.7 kB||Adobe PDF||View/Open|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.