Photograph

Hannes Meinlschmidt

Assistant Professor (W1) for Applied Analysis
FAU Erlangen-Nürnberg, Department of Data Science
Chair in Dynamics, Control and Numerics (AvH professorship)

Office 03.030 @ Cauerstraße 11, 91058 Erlangen (Germany)
Mail meinlschmidt (AT) math.fau.de
☎ +49 9131 85-67128
Twitter logo @h_meinlschmidt
ORCID id https://orcid.org/0000-0002-5874-8017

Research interests: Problems at the intersection of (optimal) control and optimization with the analysis of PDEs. This includes regularization aspects on the optimization side and regularity theory for elliptic and parabolic evolution equations on the analysis side. Motivated mostly by optimal control problems subject to strongly nonlinear (coupled systems of) time-dependent PDEs, or real-world applications with nonsmooth data.

CV: Diploma (Oct 2011) and PhD (Mar 2017) at TU Darmstadt, Germany, PhD supervisor Stefan Ulbrich. Moved to RICAM in Linz, Austria, for a PostDoc position, group of Karl Kunisch, in Sept 2017. Since Mar 2021, Assistant Professor (W1) at the AvH-chair of Enrique Zuazua at FAU Erlangen-Nürnberg, Germany. Full scientific CV here.

Publications:

[11]
Hannes Meinlschmidt and Joachim Rehberg. Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations. Journal of Differential Equations, 280:375–404, 2021. (preprint) (doi:10.1016/j.jde.2021.01.032)
[10]
Ralph Chill, Hannes Meinlschmidt, and Joachim Rehberg. On the numerical range of second-order elliptic operators with mixed boundary conditions in Lp. Journal of Evolution Equations, 2020. (preprint) (doi:10.1007/s00028-020-00642-6)
[9]
Karl Kunisch and Hannes Meinlschmidt. Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints. Journal de Mathématiques Pures et Appliquées, 138:46–87, 2020. (preprint) (doi:10.1016/j.matpur.2020.03.006)
[8]
Hannes Meinlschmidt, Christian Meyer, and Stephan Walther. Optimal control of an abstract evolution variational inequality with application in homogenized plasticity. Journal of Nonsmooth Analysis and Optimization, 2020. (doi:10.46298/jnsao-2020-5800)
[7]
Hannes Meinlschmidt, Christian Meyer, and Joachim Rehberg. Regularization for optimal control problems associated to nonlinear evolution equations. J. Convex Anal., 27(2):443–485, 2019. (preprint)
[6]
Robert Haller-Dintelmann, Hannes Meinlschmidt, and Winnifried Wollner. Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions. Annali di Matematica Pura ed Applicata (1923 -), 198(4):1227–1241, 2018. (preprint) (doi:10.1007/s10231-018-0818-9)
[5]
Dirk Horstmann, Hannes Meinlschmidt, and Joachim Rehberg. The full Keller–Segel model is well-posed on nonsmooth domains. Nonlinearity, 31:1560–1592, 2018. (preprint) (doi:10.1088/1361-6544/aaa2e1)
[4]
Hannes Meinlschmidt. Analysis and Optimal Control of Quasilinear Parabolic Evolution Equations in Divergence Form on Rough Domains. sierke Verlag, Göttingen, 2017. PhD thesis, TU Darmstadt.
[3]
Hannes Meinlschmidt, Christian Meyer, and Joachim Rehberg. Optimal control of the Thermistor Problem in three spatial dimensions, part 1: Existence of optimal solutions. SIAM J. Control Optim., 55(5):2876–2904, 2017. (preprint) (doi:10.1137/16M1072644)
[2]
Hannes Meinlschmidt, Christian Meyer, and Joachim Rehberg. Optimal control of the Thermistor Problem in three spatial dimensions, part 2: Optimality conditions. SIAM J. Control Optim., 55(4):2368–2392, 2017. (preprint) (doi:10.1137/16M1072656)
[1]
Hannes Meinlschmidt and Joachim Rehberg. Hölder-estimates for non-autonomous parabolic problems with rough data. Evol. Equ. Control Theory, 5(1):147–184, 2016. (preprint) (doi:10.3934/eect.2016.5.147)

Teaching:

Winter 2021/22
Partielle Differentialgleichungen 1 (FAU Erlangen-Nürnberg)
Summer 2021
A Primer on Functional-Analytic Methods for PDEs (FAU Erlangen-Nürnberg)
Seminar on Evolution Equations (FAU Erlangen-Nürnberg)
Winter 2020/21
Optimization in Function Space (JKU Linz)
Summer 2017
Optimization in Function Space (TU Darmstadt)

Other things of interest:

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