Lukas Wessels

About Me
I’m a mathematics PhD student at Technische Universität Berlin and the Berlin Mathematical School. My supervisor is Wilhelm Stannat. My research is funded by the Deutsche Forschungsgemeinschaft (DFG) via grant CRC 910.
Contact
wessels (at) math.tu-berlin.de
Technische Universität Berlin
Sekretariat MA 7-2
Straße des 17. Juni 136
10623 Berlin
Germany
Research Interests
- Stochastic Reaction-Diffusion Systems
- Stochastic Optimal Control in Infinite Dimensions
- Backward Stochastic (Partial) Differential Equations
- Hamilton-Jacobi-Bellman Equations
Publications
- with W. Stannat, Deterministic Control of Stochastic Reaction-Diffusion Equations, Evol. Equ. Control Theory (2021), arXiv:1905.09074.
- with W. Stannat, Peng’s Maximum Principle for Stochastic Partial Differential Equations, SIAM J. Control Optim. (2021), arXiv:2105.05194.
- with W. Stannat, Necessary and Sufficient Conditions for Optimal Control of Semilinear Stochastic Partial Differential Equations, submitted, arXiv:2112.09639.
See also my Google Scholar Profile.
Talks
- Optimal Control of Stochastic Reaction-Diffusion Equations, Oberseminar Dynamics, Technische Universität München, virtual, July 4, 2022, (Slides).
- Necessary and Sufficient Conditions for Optimal Control of Semilinear SPDEs, 9th Colloquium on Backward Stochastic Differential Equations and Mean Field Systems, Annecy, June 27 – July 1, 2022, (Slides).
- Pontryagin’s Maximum Principle for SPDEs and Its Relation to Dynamic Programming, Langenbach-Seminar, WIAS Berlin, virtual, December 1, 2021, (Slides).
- Peng’s Maximum Principle for Stochastic Partial Differential Equtions, German Probability and Statistics Days, virtual, September 27 – October 1, 2021, (Slides, Link to the recording).
- Pontryagin’s Maximum Principle for Stochastic Partial Differential Equations, International Conference on Control of Self-Organizing Nonlinear Systems, Potsdam, August 29 – September 2, 2021, (Slides).
- Stochastic Optimal Control in Infinite Dimensions, 9th BMS Student Conference, virtual, March 3 – 5, 2021, (Slides).
- Stochastic Optimal Control of the FitzHugh-Nagumo System, Workshop on Control of Self-Organizing Nonlinear Systems, Lutherstadt Wittenberg, August 20 – 22, 2019 (Slides).
- Optimal Control of the Stochastic Schlögl Equation, International Conference on Control of Self-Organizing Nonlinear Systems, Warnemünde, Rostock, September 9 – 13, 2018 (Slides).
Courses Taught
- Winter semester 2020/2021: Differential Equations I
- Winter semester 2018/2019: Calculus II for Engineering
- Summer semester 2018: Stochastics for Informatics
- Winter semester 2017/2018: Calculus I for Engineering