publications

Submitted

1. Sharp angle estimates for second order divergence operators

   Hannes Meinlschmidt and Joachim Rehberg

   2026

   Submitted

   arXiv Bib

   @unpublished{MeinlschmidtRehberg2026,
     author = {Meinlschmidt, Hannes and Rehberg, Joachim},
     title = {Sharp angle estimates for second order divergence operators},
     note = {Submitted},
     year = {2026},
   }

2. Nonautonomous maximal parabolic regularity for nonsmooth quasilinear parabolic systems

   Hannes Meinlschmidt

   2025

   Submitted

   arXiv Bib

   @unpublished{Meinlschmidt2023,
     author = {Meinlschmidt, Hannes},
     title = {Nonautonomous maximal parabolic regularity for nonsmooth quasilinear parabolic systems},
     note = {Submitted},
     year = {2025},
   }

Journal articles

1. Optimal control of quasilinear parabolic PDEs with gradient terms and pointwise constraints on the gradient of the state

   Lucas Bonifacius, Fabian Hoppe, Hannes Meinlschmidt, and Ira Neitzel

   Mathematical Control and Related Fields 15(4):1284–1319, 2025

   DOI Bib PDF

   @article{BonifaciusHoppeMeinlschmidtNeitzel2025,
     author = {Bonifacius, Lucas and Hoppe, Fabian and Meinlschmidt, Hannes and Neitzel, Ira},
     title = {Optimal control of quasilinear parabolic {PDEs} with gradient terms and pointwise constraints on the gradient of the state},
     journal = {Mathematical Control and Related Fields},
     volume = {15},
     number = {4},
     pages = {1284--1319},
     year = {2025},
     doi = {10.3934/mcrf.2025037},
   }

2. Global-in-time solutions for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel scale

   Fabian Hoppe, Hannes Meinlschmidt, and Ira Neitzel

   Evolution Equations and Control Theory 13(5):1250–1286, 2024

   DOI Bib PDF

   @article{HoppeMeinlschmidtNeitzel2024,
     author = {Hoppe, Fabian and Meinlschmidt, Hannes and Neitzel, Ira},
     title = {Global-in-time solutions for quasilinear parabolic {PDEs} with mixed boundary conditions in the {B}essel scale},
     journal = {Evolution Equations and Control Theory},
     volume = {13},
     number = {5},
     pages = {1250--1286},
     year = {2024},
     doi = {10.3934/eect.2024025},
   }

3. Hölder regularity for domains of fractional powers of elliptic operators with mixed boundary conditions

   Robert Haller, Hannes Meinlschmidt, and Joachim Rehberg

   Pure and Applied Functional Analysis 9(1):169–194, 2024

   arXiv Bib HTML PDF

   @article{HallerMeinlschmidtRehberg2023,
     author = {Haller, Robert and Meinlschmidt, Hannes and Rehberg, Joachim},
     title = {H{\"o}lder regularity for domains of fractional powers of elliptic operators with mixed boundary conditions},
     journal = {Pure and Applied Functional Analysis},
     volume = {9},
     number = {1},
     pages = {169--194},
     year = {2024},
   }

4. Extrapolated elliptic regularity and application to the van Roosbroeck system of semiconductor equations

   Hannes Meinlschmidt and Joachim Rehberg

   Journal of Differential Equations 280:375–404, 2021

   DOI Bib PDF

   @article{MeinlschmidtRehberg2021,
     author = {Meinlschmidt, Hannes and Rehberg, Joachim},
     title = {Extrapolated elliptic regularity and application to the van {R}oosbroeck system of semiconductor equations},
     journal = {Journal of Differential Equations},
     volume = {280},
     pages = {375--404},
     year = {2021},
     doi = {10.1016/j.jde.2021.01.032},
   }

5. On the numerical range of second-order elliptic operators with mixed boundary conditions in L^p

   Ralph Chill, Hannes Meinlschmidt, and Joachim Rehberg

   Journal of Evolution Equations 21:3267–3288, 2020

   DOI Bib PDF

   @article{ChillMeinlschmidtRehberg2020,
     author = {Chill, Ralph and Meinlschmidt, Hannes and Rehberg, Joachim},
     title = {On the numerical range of second-order elliptic operators with mixed boundary conditions in {$L^p$}},
     journal = {Journal of Evolution Equations},
     volume = {21},
     pages = {3267--3288},
     year = {2020},
     doi = {10.1007/s00028-020-00642-6},
   }

6. Optimal control of an energy-critical semilinear wave equation in 3D with spatially integrated control constraints

   Karl Kunisch and Hannes Meinlschmidt

   Journal de Mathématiques Pures et Appliquées 138:46–87, 2020

   DOI Bib PDF

   @article{KunischMeinlschmidt2020,
     author = {Kunisch, Karl and Meinlschmidt, Hannes},
     title = {Optimal control of an energy-critical semilinear wave equation in {3D} with spatially integrated control constraints},
     journal = {Journal de Math{\'e}matiques Pures et Appliqu{\'e}es},
     volume = {138},
     pages = {46--87},
     year = {2020},
     doi = {10.1016/j.matpur.2020.03.006},
   }

7. Optimal control of an abstract evolution variational inequality with application in homogenized plasticity

   Hannes Meinlschmidt, Christian Meyer, and Stephan Walther

   Journal of Nonsmooth Analysis and Optimization 1, 2020 · Open access

   DOI Bib

   @article{MeinlschmidtMeyerWalther2020,
     author = {Meinlschmidt, Hannes and Meyer, Christian and Walther, Stephan},
     title = {Optimal control of an abstract evolution variational inequality with application in homogenized plasticity},
     journal = {Journal of Nonsmooth Analysis and Optimization},
     volume = {1},
     year = {2020},
     doi = {10.46298/jnsao-2020-5800},
   }

8. Regularization for optimal control problems associated to nonlinear evolution equations

   Hannes Meinlschmidt, Christian Meyer, and Joachim Rehberg

   Journal of Convex Analysis 27(2):443–485, 2019

   Bib HTML PDF

   @article{MMR19,
     author = {Meinlschmidt, Hannes and Meyer, Christian and Rehberg, Joachim},
     title = {Regularization for optimal control problems associated to nonlinear evolution equations},
     journal = {Journal of Convex Analysis},
     volume = {27},
     number = {2},
     pages = {443--485},
     year = {2019},
   }

9. Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions

   Robert Haller-Dintelmann, Hannes Meinlschmidt, and Winnifried Wollner

   Annali di Matematica Pura ed Applicata 198(4):1227–1241, 2018

   DOI Bib PDF

   @article{Haller-DintelmannMeinlschmidtWollner2018,
     author = {Haller-Dintelmann, Robert and Meinlschmidt, Hannes and Wollner, Winnifried},
     title = {Higher regularity for solutions to elliptic systems in divergence form subject to mixed boundary conditions},
     journal = {Annali di Matematica Pura ed Applicata},
     volume = {198},
     number = {4},
     pages = {1227--1241},
     year = {2018},
     doi = {10.1007/s10231-018-0818-9},
   }

10. The full Keller–Segel model is well-posed on nonsmooth domains

    Dirk Horstmann, Hannes Meinlschmidt, and Joachim Rehberg

    Nonlinearity 31:1560–1592, 2018

    DOI Bib PDF

    @article{HMR18,
      author = {Horstmann, Dirk and Meinlschmidt, Hannes and Rehberg, Joachim},
      title = {The full {K}eller--{S}egel model is well-posed on nonsmooth domains},
      journal = {Nonlinearity},
      volume = {31},
      pages = {1560--1592},
      year = {2018},
      doi = {10.1088/1361-6544/aaa2e1},
    }

11. Optimal control of the thermistor problem in three spatial dimensions, part 1: Existence of optimal solutions

    Hannes Meinlschmidt, Christian Meyer, and Joachim Rehberg

    SIAM Journal on Control and Optimization 55(5):2876–2904, 2017

    DOI Bib PDF

    @article{MMR17,
      author = {Meinlschmidt, Hannes and Meyer, Christian and Rehberg, Joachim},
      title = {Optimal control of the thermistor problem in three spatial dimensions, part 1: Existence of optimal solutions},
      journal = {SIAM Journal on Control and Optimization},
      volume = {55},
      number = {5},
      pages = {2876--2904},
      year = {2017},
      doi = {10.1137/16M1072644},
    }

12. Optimal control of the thermistor problem in three spatial dimensions, part 2: Optimality conditions

    Hannes Meinlschmidt, Christian Meyer, and Joachim Rehberg

    SIAM Journal on Control and Optimization 55(4):2368–2392, 2017

    DOI Bib PDF

    @article{MMR17a,
      author = {Meinlschmidt, Hannes and Meyer, Christian and Rehberg, Joachim},
      title = {Optimal control of the thermistor problem in three spatial dimensions, part 2: Optimality conditions},
      journal = {SIAM Journal on Control and Optimization},
      volume = {55},
      number = {4},
      pages = {2368--2392},
      year = {2017},
      doi = {10.1137/16M1072656},
    }

13. Hölder-estimates for non-autonomous parabolic problems with rough data

    Hannes Meinlschmidt and Joachim Rehberg

    Evolution Equations and Control Theory 5(1):147–184, 2016

    DOI Bib PDF

    @article{MR16,
      author = {Meinlschmidt, Hannes and Rehberg, Joachim},
      title = {H{\"o}lder-estimates for non-autonomous parabolic problems with rough data},
      journal = {Evolution Equations and Control Theory},
      volume = {5},
      number = {1},
      pages = {147--184},
      year = {2016},
      doi = {10.3934/eect.2016.5.147},
    }

Book chapters

1. A variational approach to continuous time dynamic models

   Hannes Meinlschmidt, Meike Sons, and Mark Stemmler

   In Dependent Data in Social Sciences Research, ed. by Mark Stemmler, Wolfgang Wiedermann, Francis L. Huang, Springer, Cham, 2024

   DOI Bib PDF Code

   @incollection{MeinlschmidtSonsStemmler2023,
     author = {Meinlschmidt, Hannes and Sons, Meike and Stemmler, Mark},
     title = {A variational approach to continuous time dynamic models},
     booktitle = {Dependent Data in Social Sciences Research},
     editor = {Stemmler, Mark and Wiedermann, Wolfgang and Huang, Francis L.},
     publisher = {Springer},
     address = {Cham},
     year = {2024},
     doi = {10.1007/978-3-031-56318-8_5},
   }

Thesis

1. Analysis and Optimal Control of Quasilinear Parabolic Evolution Equations in Divergence Form on Rough Domains

   Hannes Meinlschmidt

   PhD thesis, TU Darmstadt, sierke Verlag, Göttingen, 2017

   Bib

   @phdthesis{Mei17,
     author = {Meinlschmidt, Hannes},
     title = {Analysis and Optimal Control of Quasilinear Parabolic Evolution Equations in Divergence Form on Rough Domains},
     school = {TU Darmstadt},
     publisher = {sierke Verlag},
     address = {G{\"o}ttingen},
     year = {2017},
   }