apl. Prof. Dr. Jens Habermann
Adjunct professors
Contact
Head of administration
In administrative matters please contact the administrative office of the Department of Data Science dds-geschaeftsstelle@fau.de.
Accreditations Bachlors/Masters programme Data Science
For questions regarding accreditations please contact dds-accreditations@fau.de.
Research Interests
- Theory of Partial Differential Equations
- Calculus of Variations
- Elliptic and parabolic (quasi-)minimizers
- PDE with non-standard growth conditions
- (Parabolic) quasiminimizers on metric measure spaces
Projects
- Stability for doubly nonlinear parabolic equations (C07 intern) (Third Party Funds Group – Sub project) Overall project: TRR 154: Mathematische Modellierung, Simulation und Optimierung am Beispiel von Gasnetzwerken
Term: 01-05-2020 – 30-06-2022
Funding source: DFG / Sonderforschungsbereich / Transregio (SFB / TRR)
URL: https://trr154.fau.de/ →More information - Existence and regularity for parabolic quasi minimizers on metric measure spaces (Third Party Funds Single) Term: 01-01-2015 – 31-12-2019
Funding source: DFG-Einzelförderung / Sachbeihilfe (EIN-SBH) Abstract →More information
- , , :
Reduced-order adaptive synchronization in a chaotic neural network with parameter mismatch: a dynamical system versus machine learning approach
In: Nonlinear Dynamics (2024)
ISSN: 0924-090X
DOI: 10.1007/s11071-024-10821-6
- , , , :
Constrained exact boundary controllability of a semilinear model for pipeline gas flow
In: European Journal of Applied Mathematics (2023), p. 1-22
ISSN: 0956-7925
DOI: 10.1017/S0956792522000389
URL: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/abs/constrained-exact-boundary-controllability-of-a-semilinear-model-for-pipeline-gas-flow/FD1A8672AEC80D0C3CA20780787E45A7
- , :
Finite speed propagation for parabolic quasiminimizers
In: Nonlinear Analysis - Theory Methods & Applications 198 (2020), p. 1--17
ISSN: 0362-546X
DOI: 10.1016/j.na.2020.111891
- , :
The stability problem for parabolic quasiminimizers in metric measure spaces
In: Rendiconti Lincei. Matematica e Applicazioni XXIX (2018), p. 343-376
ISSN: 1120-6330
- , :
Global higher integrability for parabolic quasiminiizers in metric spaces
In: Advances in Calculus of Variations 10 (2017), p. 267-301
ISSN: 1864-8258 - , , :
A fairly strong stability result for parabolic minimizers
In: Mathematische Nachrichten (2017)
ISSN: 0025-584X
- , :
Surfaces of prescribed mean curvature in a cone
In: Archiv der Mathematik 107 (2016), p. 429-444
ISSN: 0003-889X
DOI: 10.1007/s00013-016-0940-0
- :
Global gradient estimates for non-quadratic vector-valued parabolic quasiminimizers
In: Nonlinear Analysis - Theory Methods & Applications 114 (2015), p. 42-73
ISSN: 0362-546X - :
Higher integrability for vector-valued parabolic quasi-minimizers on metric measure spaces
In: Arkiv For Matematik to appear (2015), p. -
ISSN: 0004-2080
- , , , :
Stability for parabolic quasiminimizers
In: Potential Analysis 41 (2014), p. 983-1004
ISSN: 0926-2601
DOI: 10.1007/s11118-014-9404-y - :
Vector-valued parabolic $\omega$-minimizers
In: Advances in Differential Equations 19 (2014), p. 1067-1136
ISSN: 1079-9389 - , :
Elliptic interpolation estimates for non-standard growth operators
In: Annales Academiae Scientiarum Fennicae-Mathematica 39 (2014), p. 119-162
ISSN: 1239-629X
DOI: 10.5186/aasfm.2014.3915
- :
Partial regularity for nonlinear elliptic systems with continuous growth exponent
In: Annali Di Matematica Pura Ed Applicata 192 (2013), p. 475-527
ISSN: 0373-3114
DOI: 10.1007/s10231-011-0233-y
- , , , :
Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
In: Advances in Calculus of Variations 5 (2012), p. 1-57
ISSN: 1864-8258
DOI: 10.1515/ACV.2011.009 - , :
Partial regularity for parabolic systems with non-standard growth
In: Journal of Evolution Equations 12 (2012), p. 203-244
ISSN: 1424-3199
DOI: 10.1007/s00028-011-0130-2 - , :
Calderón-Zygmund estimates for parabolic measure data problems
In: Journal of Differential Equations 252 (2012), p. 412-447
ISSN: 0022-0396 - , :
New gradient estimates for parabolic equations
In: Houston Journal of Mathematics 38 (2012), p. 855-914
ISSN: 0362-1588
- , , , :
Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
In: Proceedings of the London Mathematical Society 103 (2011), p. 371-404
ISSN: 0024-6115
DOI: 10.1112/plms/pdr009
URL: http://plms.oxfordjournals.org/content/early/2011/02/27/plms.pdr009.abstract - , :
A Hölder continuity result for a class of obstace problems under non standard growth conditions
In: Mathematische Nachrichten 284 (2011), p. 1404-1434
ISSN: 0025-584X
DOI: 10.1002/mana.201190024
- , :
Gradient estimates via non standard potentials and continuity
In: Annales Academiae Scientiarum Fennicae-Mathematica 35 (2010), p. 641-678
ISSN: 1239-629X
DOI: 10.5186/aasfm.2010.3541
URL: http://www.acadsci.fi/mathematica/Vol35/BogeleinHabermann.html - , :
Calderon-Zygmund type estimates for a class of obstacle problems with p(x) growth
In: Journal of Mathematical Analysis and Applications 372 (2010), p. 140-161
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2010.05.072 - :
Full regularity for convex integral functionals with p(x) growth in low dimensions
In: Bolletino dell Unione Matematica Italiana IX, Vol. III (2010), p. 521-541
ISSN: 1972-6724
- , :
Regularity results for a class of obstacle problems under nonstandard growth conditions
In: Journal of Mathematical Analysis and Applications 344 (2008), p. 1120-1142
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.03.068 - :
Calderon-Zygmund estimates for higher order systems with p(x) growth
In: Mathematische Zeitschrift 258 (2008), p. 427-462
ISSN: 0025-5874
DOI: 10.1007/s00209-007-0180-x - :
Partial regularity for minima of higher order functionals with p(x) growth
In: Manuscripta Mathematica 126 (2008), p. 1-40
ISSN: 0025-2611
DOI: 10.1007/s00229-007-0147-6 - , :
Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation
In: Nodea-Nonlinear Differential Equations and Applications 15 (2008), p. 169-194
ISSN: 1021-9722
DOI: 10.1007/s00030-007-7007-7
Wintersemester 2025/26
Sommersemester 2025
No matching entries found.Frühere Lehrveranstaltungen
- Mathematik für Data Science 1/Physikstudierende A (Wintersemester 2024/25)
- Seminar: Elementare Differentialgeometrie (Sommersemester 2024)
- Masterseminar: A mathematical approach to deep learning (Sommersemester 2023)
- Analysis III (Wintersemester 2022/23)
Bachelor, Master, and Doctor Thesis
I would be pleased to discuss possible topics for bachelor and master thesis as well as dissertations. Please contact me at any time.
Thesis
Dissertations
- Existenz für parabolische Quasiminimierer auf metrischen Maßräumen (M. Collins, finished 2020)
- Regularitätssätze für parabolische Quasiminimier auf metrischen Maßräumen (A. Herán, finished 2020)
Master Thesis
- A minimizing movement approach for parabolic PDEs on metric spaces (M. Bauer, SS 2024)
- Ein Stabilitätsresultat für parabolische Quasiminimierer (D. Beyer, SS 2021)
- Der Einbettungssatz von Morrey für Banachraum-wertige Funktionen (S. Heiland, WS 2019/20)
- Ein Regularitätssatz für parabolische Quasiminimierer (S. Gärttner, WS 2018/19)
- Regularität für elliptische Systeme in Diagonalgestalt (B. Schmidt, WS 2016/17)
- Schauder-Abschätzungen mittels Skalierung (C. Endres, WS 2016/17)
- Die gebrochene Maximalfunktion und die Hardy-Ungleichung auf Sobolev-Räumen (A. Herán, SS 2016)
- Ein Regularitätsresultat für Quasi-Minimierer auf metrischen Maßräumen (M. Collins, WS 2015/16)
Bachelor Thesis
- Optimale Konstanten in Poincaré-Ungleichungen (ongoing)
- Klassische Approximationssätze für periodische Funktionen (L. Kafka, WS 2023/24)
- Die Sätze von Hopf-Rinow und Hadamard (J. Stürmer, WS 2021/22)
- Riemannsche Geometrie: Räume konstanter negativer Krümmung (D. Kreiner, WS 2020/21)
- Riemannsche Geometrie: Der Satz von Bonnet-Myers (F. Bäuerlein, WS 2020/21)
- Jacobi-Felder und konjugierte Punkte (F. Aurbach, WS 2020/21)
- Modelle der hyperbolischen Geometrie (C. Carl, WS 2018/19)
- Variationsrechnung unter Nebenbedingungen – Geodätische auf Flächenstücken (D. Geyer, SS 2018)
- Stabilitätsdiskussion für Flächen konstanter mittlerer Krümmung (J. Peters, SS 2017)
- Die Weierstraß-Darstellung von Minimalflächen (J. Butz, SS 2017)
- Das Plateau-Problem: Existenzbeweis für rektifizierbare geschlossene Jordankurven (J. Neumann, SS 2117)
- Existenz- und Eindeutigkeit für schwache Lösungen der stationären Stokes-Gleichung (C. Kuchler, SS 2015)
- Evolutorische Spieltheorie (A. Herán, SS 2014)
- Berechnung optimaler Strategien bei endlichen Zwei-Personen-Nullsummenspielen (J. Seifert, SS 2014)
- Das Minimax-Theorem für Zwei-Personen-Nullsummenspiele (Y. Hu, SS 2014)
- Tug-of-War-Games: Grenzwerte von Wertfunktionen (M. Collins, SS 2014)
Exam Thesis for teaching degree (Gymnasium) (written academic paper according to LPO I)
- Geodätische in der hyperbolischen Ebene (J. Gwinner, WS 2022/23)
- Modelle der Hyperbolischen Geometrie in der Ebene (H. Frisch, WS 2021/22)
- Differentialgeometrische Betrachtung von Modellen der hyperbolischen Geometrie (L. Bautz, SS 2021)
- Die innere Geometrie von Flächen (A. Karbacher, SS 2020)
- Der Mylar-Ballon: Eine Betrachtung aus differentialgeometrischer Sicht (M. Wachter, SS 2020)
- Delaunay-Flächen: Rotationsflächen mit konstanter mittlerer Krümmung (F. Berger, SS 2018)
- Darstellungsformeln und Beispiele für Minimalflächen (H. Giepen, SS 2017)
- Betrachtung diverser Randbedingungen in der klassischen Variationsrechnung (A. Strobelt, WS 2017/18)
- Kriterien für Extrema in der klassischen Variationsrechnung (M. Schienagel, WS 2016/17)
- Darstellungsformeln und Beispiele für Minimalflächen (H. Giepen, WS 2016/17)
Exam Thesis for teaching degree (Realschule, nicht vertieft) (written academic paper according to LPO I)
- Volumen und Oberfläche von Rotationskörpern — die Guldin’schen Regeln (L. Triponescu, WS 2025/26)
- Das Brachistochronen-Problem (T. Biswas, WS 2024/25)
- Regelflächen und ihre Anwendung (K. Canli, SS 2024)
- Evolute und Evolvente (A. Sekora, SS 2024)
- Beispiele für Minimalflächen (V. Merdian, WS 2023/24)
- Aspekte der Geometrie in der hyperbolischen Ebene (K. Müller, WS 2023/24)
- Die Zykloide: Helena der Geometrie (F. Braun, WS 2021/22)
Recent Position
Außerplanmäßiger Professor
Head of the Administration — Department of Data Science
Scientific Vita
| Since 07/2023 | Außerplanmäßiger Professor, Department of Data Science, Friedrich-Alexander University Erlangen-Nürnberg |
| Since 08/2021 | Akademischer Oberrat, Department of Data Science, Friedrich-Alexander University Erlangen-Nürnberg |
| 09/2018 – 06/2021 | Deputy Professorship (W3, chair), Department of Mathematics, Friedrich-Alexander University Erlangen-Nürnberg |
| 07/2013 | Habilitation at the Faculty of Natural Sciences, Friedrich-Alexander University Erlangen-Nürnberg |
| 04/2012 – 07/2012 | Deputy Professorship (W3, chair), Department of Mathematics, Friedrich-Alexander University Erlangen-Nürnberg |
| 04/2011 – 02/2012 | Deputy Professorship (W2), Department of Mathematics, Friedrich-Alexander University Erlangen-Nürnberg |
| 08/2009 – 04/2011 | Research Fellow at the University of Parma, Italy |
| 10/2008 – 02/2009 | Deputy Professorship (W2), Department of Mathematics, University of Regensburg |
| 07/2006 – 07/2020 | Research Associate (Akademischer Rat a.Z.), Department of Mathematics, Friedrich-Alexander University Erlangen-Nürnberg |
| 07/2003 – 06/2006 | Research Assistant, Department of Mathematics, Friedrich-Alexander University Erlangen-Nürnberg |
Conferences and Talks
| 06/2022 | Talk at the conference “Advances in Calculus of Variations”, Naples, Italy |
| 09/2019 | Talk at the “Doktoratskolloquium”, Paris Lodron University of Salzburg, Austria |
| 09/2019 | Talk at the “Oberseminar Analysis” Aalto University, Helsinki |
| 07/2016 | Talk at the conference “The total variations flow and related nonlinear evolution problems”, Paris Lodron University of Salzburg, Austria |
| 08/2015 | Talk at the conference “Partial differential equations, optimal design and numerics”, Benasque, Spain |
| 06/2014 | Talk in the “Mathematisches Kolloquium” at the University of Aachen |
| 06/2014 | Talk at the conference “Singular and degenerate evolution problems”, Cortona, Italy |
| 12/2013 | Conference, “Quasilinear PDEs and Game Theory”, Uppsala, Sweden |
| 09/2013 | Workshop in “New Trends in Shape Optimization”, Erlangen |
| 09/2013 | “Evolutionary Problems”, Research Period, Mittag-Leffler Institut, Stockholm |
| 08/2013 | Conference, “Partielle Differentialgleichungen”, Mathematisches Forschungsinstitut Oberwolfach |
| 07/2012 | Talk in the “Oberseminar Analysis” at the University of Aachen |
| 05/2012 | Talk in a Minisymposium at the “7th European Conference on Elliptic and Parabolic Problems”, Gaeta, Italy |
| 09/2009 | Intensive Research Period: “Regularity for non-linear PDEs”, Centro di Ricerca Matematica Ennio De Giorgi, Pisa, Italy |
| 05/2009 | Talk in a Minisymposium at the “6th European Conference on Elliptic and Parabolic Problems”, Gaeta, Italy |
| 02/2009 | Talk in the “Mathematisches Kolloquium”, Friedrich-Alexander University Erlangen-Nürnberg (Habilitations-Vorstellungsvortrag) |
| 01/2009 | Talk in the “Oberseminar Analysis”, University of Regensburg |
| 12/2008 | Talk in the “Mathematisches Kolloquium”, University of Regensburg |
| 06/2008 | “Harmonic Analysis and PDE”, spring school, Helsinki, Finland |
| 03/2008 | Talk at the “Mathematics Day”, Siemens-Forum, Erlangen |
| 07/2007 | Talk in the “Oberseminar Analysis”, Weierstraß-Institute for Applied Analysis and Stochastics (WIAS), Berlin |
| 06/2007 | Talk at the Conference “Geometric Analysis and Nonlinear PDEs”, Bedlewo, Poland |
| 05/2007 | “Quasiconvexity, Quasiregularity and Rigidity of Gradients”, workshop, Regensburg |
| 01/2007 | “Opening Colloquium of the Hausdorff Center for Mathematics”, Bonn |
| 09/2004 | “Trends in the Calculus of Variations”, conference, Parma, Italy |
Studies
| 06/2006 | Completed PhD, Faculty of Sciences, Friedrich-Alexander University Erlangen-Nürnberg |
| 03/2003 | Diploma in Physics, Friedrich-Alexander University Erlangen-Nürnberg |
| 10/1997 – 03/2003 | Studies of Physics, Friedrich-Alexander University Erlangen-Nürnberg |
Scholarships and Awards
| 12/2018 | FAU award for excellence in teaching (FAU-Nachwuchs-Lehrpreis), Friedrich-Alexander University Erlangen-Nürnberg |
| 12/2004 – 05/2006 | PhD Scholarship of the Studienstiftung des deutschen Volkes |
| 07/2003 | Ohm award (dedicated to support young researchers in the field of physics at FAU), Department of Physics, Friedrich-Alexander University Erlangen-Nürnberg |
| 12/1998 – 03/2003 | Scholarship of the Studienstiftung des deutschen Volkes |
Committees
| 09/2018 & 06/2022 | Managing director of the SFB TRR 154 Mathematical Modelling, Simulation and Optimization using the Example of Gas Networks, Friedrich-Alexander University Erlangen-Nürnberg |
| 01/2008 & 01/2009 | Member of the selection committee of the Studienstiftung des deutschen Volkes |
| 04/2007 – 04/2009 | Representative of the Research Staff in the Commission for tuition fees (Kommission zur Verwendung der Studiengebühren), Friedrich-Alexander University Erlangen-Nürnberg |