@inproceedings{4557e72dbda64ecfb616b142da14a088,
title = "Nondecreasing solutions to doubly nonlinear equations",
abstract = "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.",
keywords = "Existence, Long-time behavior, Nondecreasing dynamics, Nondecreasing solution, Preorders in Hilbert spaces",
author = "Goro Akagi and Ulisse Stefanelli",
year = "2017",
month = jan,
day = "1",
doi = "10.1007/978-3-319-64489-9_2",
language = "English",
isbn = "9783319644882",
series = "Springer INdAM Series",
publisher = "Springer International Publishing",
pages = "31--53",
editor = "Angelo Favini and Jurgen Sprekels and Pierluigi Colli and Elisabetta Rocca and Giulio Schimperna and Jurgen Sprekels",
booktitle = "Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs - In Honour of Prof. Gianni Gilardi",
note = "INdAM Conference on Optimal Control for Evolutionary PDEs and Related Topics, OCERTO 2016 ; Conference date: 20-06-2016 Through 24-06-2016",
}