Adress: 

University of Konstanz
Department of Mathematics and Statistics
Box 193
D-78457 Konstanz

Office: F 523

Phone: (+49) 75 31 / 88-3642

E-mail: david.ploss@uni-konstanz.de

I have been a research and teaching assistant of Prof. Dr. Robert Denk since October 2018.

Research

During my PhD, I have investigated elliptic and parabolic boundary value problems of fourth order with Wentzell or dynamic boundary conditions both on bounded Lipschitz domains, as well as smoother domains. Those are boundary conditions where the differential operator itself is allowed to appear on the boundary, which raises the question in which sense the appearing traces are well defined. The following methods are central for the underlying investigations:

  •  Form methods and semigroup theory
  •  Weak traces and abstract Green's formulae
  •  Parabolic theory
  •  Function spaces with mixed order
  •  Analysis of Fourier symbols

Publications

[2]  Boundary value problems with rough boundary data (with R. Denk, S. Rau, J. Seiler). J. Differential Equations 366 (2023), 85-131.
[1] The Bi-Laplacian with Wentzell boundary conditions on Lipschitz domains (with R. Denk, M. Kunze). Integral Equations Operator Theory 93 (2021), 13.

Teaching

As doctoral researcher:

Winter semester 2023/2024 Q&A to the course Analysis I (Jun.-Prof. Dr. Franz Gmeineder)
Summer semester 2023 Organization of tutorials to the course Functional Analysis II (Prof. Dr. Robert Denk)
Winter semester 2022/2023 Tutorial to the course Theory of PDE I (Jun.-Prof. Dr. Lara Trussardi)
Summer semester 2022 Organization of tutorials to the course Functional Analysis I (Prof. Dr. Robert Denk)
Winter semester 2021/2022 Organization of tutorials to the course Analysis III (Prof. Dr. Robert Denk)
Summer semester 2021 Organization of tutorials to the course Analysis II (Prof. Dr. Robert Denk)
Winter semester 2020/2021 Organization of tutorials to the course Analysis I (Prof. Dr. Robert Denk)
Summer semester 2020

Organization of tutorial to the course Form Methods (PD Dr. Markus Kunze)
Winter semester 2019/2020

Organization of tutorial to the course Pseudodifferential Operators  (Prof. Dr. Robert Denk)
Summer semester 2019                      

Organization of tutorial to the course Stochastic PDE (Prof. Dr. Robert Denk)
Winter semester 2018/2019   Organization of tutorial to the course Theory of PDE II (Prof. Dr. Robert Denk)


As student assistant:

Summer semester 2018 Tutorial to the course Functional Analysis (PD Dr. Markus Kunze)
Winter semester 2017/2018 Tutorial to the course Analysis I (Prof. Dr. Reinhard Racke)
Summer semester 2017 Tutorial to the course Stochastics I (PD Dr. Markus Kunze)
Winter semester 2016/2017 Tutorial to the course Analysis III (Prof. Dr. Robert Denk)
Summer semester 2016 Tutorial to the course Complex Analysis (Prof. Dr. Reinhard Racke)
Winter semester 2015/2016 Tutorial to the course Analysis I (Prof. Dr. Robert Denk)
Summer semester 2015 Tutorial to the course Vorlesung Complex Analysis (Prof. Dr. Heinrich Freistühler)
Winter semester 2014/2015 Tutorial to the course Analysis III (Prof. Dr. Stefan Volkwein)

Winter semester 2013/2014

 Tutorial to the course Analysis I (Prof. Dr. Stefan Volkwein)

Winter semester  2012/2013

 Tutorial to the course Linear Algebra I (Prof. Dr. Dieter Hoffmann)