By Jean-Baptiste Hiriart-Urruty, Adam Korytowski, Helmut Maurer, Maciej Szymkat
This publication includes prolonged, in-depth shows of the plenary talks from the sixteenth French-German-Polish convention on Optimization, held in Kraków, Poland in 2013. each one bankruptcy during this e-book indicates a accomplished examine new theoretical and/or application-oriented leads to mathematical modeling, optimization, and optimum keep an eye on. scholars and researchers serious about photograph processing, partial differential inclusions, form optimization, or optimum regulate concept and its purposes to scientific and rehabilitation expertise, will locate this e-book valuable.
The first bankruptcy by way of Martin Burger presents an summary of contemporary advancements relating to Bregman distances, that's an enormous instrument in inverse difficulties and photograph processing. The bankruptcy by way of Piotr Kalita reviews the operator model of a primary order in time partial differential inclusion and its time discretization. within the bankruptcy by way of Günter Leugering, Jan Sokołowski and Antoni Żochowski, nonsmooth form optimization difficulties for variational inequalities are thought of. the following bankruptcy, via Katja Mombaur is dedicated to purposes of optimum regulate and inverse optimum keep watch over within the box of clinical and rehabilitation expertise, particularly in human move research, remedy and development via scientific units. the ultimate bankruptcy, by means of Nikolai Osmolovskii and Helmut Maurer presents a survey on no-gap moment order optimality stipulations within the calculus of adaptations and optimum regulate, and a dialogue in their extra development.
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Additional info for Advances in Mathematical Modeling, Optimization and Optimal Control
Kalita ( ) Faculty of Mathematics and Computer Science, Jagiellonian University, ul. prof. S. -B. Hiriart-Urruty et al. 1007/978-3-319-30785-5_3 35 36 P. Kalita problems without uniqueness. One of them is based on the study of multifunctions that assign to the initial state the set of states reachable after some time t. This approach, by the so-called multivalued semiflows or m-semiflows was initiated in  and developed in [25, 26], or, more recently, in [11, 16, 40]. The second technique, by trajectory attractors, consists in the study of shift operators on the spaces of time dependent trajectories and was developed in [7, 24, 34].
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SIAM J. Control Optim. 35, 1142–1168 (1997) 45. : On uniform decay of the entropy for reactiondiffusion systems. J. Dyn. Differ. Equ. 27, 897–928 (2015) 46. : Nonsmooth analysis of doubly nonlinear evolution equations. Calc. Var. Partial Differ. Equ. 46, 253–310 (2013) 47. : Multiscale methods for polyhedral regularizations and applications in high dimensional imaging. D. thesis, University of Muenster (2012) 48. : Multiscale methods for polyhedral regularizations. SIAM J. Optim. 23, 1424–1456 (2013) 49.
Advances in Mathematical Modeling, Optimization and Optimal Control by Jean-Baptiste Hiriart-Urruty, Adam Korytowski, Helmut Maurer, Maciej Szymkat