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Mixed semi-continuous perturbation of time -dependent maximal monotone operators and subdifferentials
- Publication Year :
- 2021
- Publisher :
- HAL CCSD, 2021.
-
Abstract
- We are concerned in the present work with the existence of absolutely continuous solutions to a class of evolution problems governed by time-dependent maximal monotone operators A(t) of the form − du dt (t) ∈ A(t)u(t) + f (t, u(t)) + F (t, u(t)), where the perturbation is a sum of a mixed semi-continuous compact set-valued map F and a singlevalued map f. New variants dealing with a class of time-dependant subdifferential operators of the form − du dt (t) ∈ ∂ϕ(t, u(t)) + f (t, u(t)) + F (t, u(t)) are also investigated. Some applications are given.
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.dedup.wf.001..0e098130745418341cca6a6725b619e8