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2006 - 2007, Postdoctoral Researcher | Swiss Federal Institute of Technology (EPFL)
2001 - 2006, Research and Teaching Assistant | Swiss Federal Institute of Technology
My research interests lie within the fields of qualitative theory of differential equations and inclusions, mathematical control theory, calculus of variations and optimization. In particular, my current research is oriented towards theoretical analysis, control and optimization of nonlinear equations (with possibly multivalued right-hand sides) and systems of subdifferential type with applications to systems with hysteresis and sweeping processes.
List of Publications
Existence and relaxation for subdifferential inclusions with unbounded perturbation. Math. Program. 166, No. 1--2, 65–-85 (2017).
(with Aiki T.) Existence and uniqueness for a concrete carbonation process with hysteresis. J. Math. Anal. Appl. 449, No. 2, 1502--1519 (2017).
(with Krejci P.) Coupled ODEs control system with unbounded hysteresis region. SIAM J. Control Optim. 54, No. 4, 1934–-1949 (2016).
Control system with hysteresis and delay. Syst. Control Lett. 91, 43-47 (2016).
A relaxation result for unbounded control system with hysteresis. J. Math. Anal. Appl. 435, No. 2, 1036-1053 (2016).
(with Krejci P. and Tolstonogov A.A.) A control problem in phase transition modeling. NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 4, 513-542 (2015).
(with Tolstonogov A.A.) Convex-valued selectors of a Nemytskii operator with nonconvex values and their applications. J. Nonlinear Convex Anal. 16, No. 6, 1131-1145 (2015).
Variational stability of some optimal control problems describing hysteresis effects. SIAM J. Control Optim. 52, No. 4, 2348-2370 (2014).