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Nondecreasing solutions to doubly nonlinear equations.
In: (INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics, 20-24 June 2016, Cortona, Italy). 2017. 31-53 (Springer INdAM Series ; 22)
Nondecreasing evolution is described via the coupling of an abstract doubly nonlinear differential inclusion and a constraint on the rate. The latter is formulated by imposing the monotonicity in time of the solution with respect to a given preorder in a Hilbert space. We discuss a solution notion for this problem and prove existence and long-time behavior.
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Publikationstyp
Artikel: Konferenzbeitrag
Schlagwörter
Existence ; Long-time Behavior ; Nondecreasing Dynamics ; Nondecreasing Solution ; Preorders In Hilbert Spaces
ISSN (print) / ISBN
2281-518X
e-ISSN
2281-5198
Konferenztitel
INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics
Konferzenzdatum
20-24 June 2016
Konferenzort
Cortona, Italy
Quellenangaben
Band: 22,
Seiten: 31-53
Reihe
Springer INdAM Series
Institut(e)
Institute of Computational Biology (ICB)