Academic Career and Research Areas
Prof. Brokate’s interests lie in applied analysis, control theory and numerical analysis. His main focus is on the mathematical analysis of rate-independent evolutions and the connected hysteresis operators.
Prof. Brokate (b. 1953) studied mathematics at Freie Universität Berlin and received his doctorate there in 1980. After that, he spent periods at universities in Augsburg, Kaiserslautern and Kiel before arriving at TUM. In 1999, he was appointed to the Chair of Numerical Analysis and Control Theory. From 2001 to 2004, he was spokesman of Special Research Area 438 “Mathematische Modellierung, Simulation und Verifikation in materialorientierten Prozessen und intelligenten Systemen” (mathematical modeling, simulation and verification in material-oriented processes and intelligent systems). Between 2003 and 2006, he was Dean of the Department of Mathematics. He was a member of the TUM Senate and the University Council between 2007 and 2010.
Brokate M, Kersting G: Maß und Integral. Basel: Birkhäuser, 2010.
Brokate M, Krejci P, Schnabel H: "On uniqueness in evolution quasivariational inequalities". J. Convex Anal. 2004; 11: 111-130.Abstract
Brokate M, Sprekels J: Hysteresis and phase transitions. New York: Springer, 1996.
Brokate M, Visintin A: "On a characterization of the Preisach model for hysteresis". J. Reine Angew. Math. 1989; 402: 1-40.
Brokate M: "Pontryagin's principle for control problems in age-dependent population dynamics". J. Math. Biol.1985; 23: 75-101.Abstract