@unpublished{MeinlschmidtRehberg2026, author = {Meinlschmidt, Hannes and Rehberg, Joachim}, title = {Sharp angle estimates for second order divergence operators}, note = {Submitted}, year = {2026}, } @unpublished{Meinlschmidt2023, author = {Meinlschmidt, Hannes}, title = {Nonautonomous maximal parabolic regularity for nonsmooth quasilinear parabolic systems}, note = {Submitted}, year = {2025}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, } @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}, }