PDEs, Operator Theory, and Mathematical Physics

Sascha Trostorff studied mathematics with a minor in computer science at TU Dresden, Germany, graduating in 2008. He received his PhD in 2011, providing a general solution concept for evolutionary inclusions, a generalization of nonlinear partial differential equations. In 2018, he completed his habilitation thesis at TU Dresden, connecting semigroup methods and evolutionary equations and advancing the understanding of exponential stability for a large class of evolutionary equations. Since 2019, he has been working as a lecturer at the Christian-Albrechts-Universität in Kiel, Germany. Sascha has also co-authored two books. Marcus Waurick graduated in mathematics with a minor in physics from TU Dresden in 2009. He completed his PhD in 2011 on homogenization theory while working at the Faculty of Civil Engineering and later that year joined the Institute for Analysis at TU Dresden. In 2015, he took up a research post at the University of Bath, and in 2016 completed his habilitation thesis. In 2017, he became a Chancellor’s Fellow at the University of Strathclyde. In 2020, he joined TU Hamburg as a research associate and in November of that year became a deputy professor at TU Bergakademie Freiberg. In April 2021, he was appointed full professor at TU Bergakademie Freiberg, holding the chair of Partial Differential Equations. Marcus has also co-authored three books and edited one book.

• Chapter 1. Nonrelativistic Limit of Two-Dimensional Dirac Operators on Lipschitz Domains.- Chapter 2. Gaffney’s Inequality and the Closed Range Property in Unbounded Domains.- Chapter 3. Temperature-rate dependent two-temperature theory for piezothermoelastic materials.- Chapter 4. Statistics of the reflected energy from horizontally polarised shear wave propagation in randomly layered media.- Chapter 5. Stability for Magneto-Elastic Systems.- Chapter 6. Continuous Fragmentation Equations in Weighted L1 Spaces.- Chapter 7. Differentiating Accretive Operators, and Linearised Stability and Regularity for Nonlinear Evolution Equations.- Chapter 8. About critical exponents in semi-linear wave models with dominant mass term.- Chapter 9. Uniqueness and Stability for Time Discretizations of the SST-generalized Navier-Stokes Equations.- Chapter 10. Numerical Treatment of Non-local Integral Operators in the Framework of Evolutionary Equations.- Chapter 11. Spatial Approximation for Evolutionary Equations.