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Fakultät für Mathematik
Anschrift
Thea-Leyman-Str. 9
45127 Essen
45127 Essen
Raum
WSC-O-4.63
Telefon
E-Mail
Funktionen
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Professor/in, Mathematik
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Gruppe der Professorinnen und Professoren, Fakultätsrat
Aktuelle Veranstaltungen
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2024 WS
Vergangene Veranstaltungen (max. 10)
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2024 SS
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2023 WS
Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.
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Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz GrowthIn: Potential Analysis Jg. 60 (2024) Nr. 2, S. 647 - 672Online Volltext: dx.doi.org/ (Open Access)
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Higher integrability for singular doubly nonlinear systemsIn: Annali di Matematica Pura ed Applicata Jg. 203 (2024) Nr. 5, S. 2235 - 2274Online Volltext: dx.doi.org/ (Open Access)
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On two notions of solutions to the obstacle problem for the singular porous medium equationIn: Discrete and Continuous Dynamical Systems: Series A (DCDS-A) Jg. 44 (2024) Nr. 10, S. 3263 - 3286Online Volltext: dx.doi.org/ (Open Access)
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Boundary regularity for elliptic systems with p,q-growthIn: Journal de Mathématiques Pures et Appliquées Jg. 159 (2022) S. 250 - 293Online Volltext: dx.doi.org/
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Boundary regularity for parabolic systems in convex domainsIn: Journal of the London Mathematical Society Jg. 105 (2022) Nr. 3, S. 1702 - 1751Online Volltext: dx.doi.org/ (Open Access)
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Gradient Hölder regularity for degenerate parabolic systemsIn: Nonlinear Analysis: Theory, Methods & Applications Jg. 225 (2022) 113119Online Volltext: dx.doi.org/ (Open Access)
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Higher integrability for doubly nonlinear parabolic systemsIn: Partial Differential Equations and Applications Jg. 3 (2022) Nr. 6, 74Online Volltext: dx.doi.org/ (Open Access)
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On the definition of solution to the total variation flowIn: Calculus of Variations and Partial Differential Equations Jg. 61 (2022) Nr. 1, 40Online Volltext: dx.doi.org/ (Open Access)
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Blow-up analysis and boundary regularity for variationally biharmonic mapsIn: Nonlinear Analysis: Theory, Methods & Applications Jg. 200 (2020) S. 111971Online Volltext: dx.doi.org/ (Open Access)
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Global higher integrability of weak solutions of porous medium systemsIn: Communications on Pure and Applied Analysis (CPAA) Jg. 19 (2020) Nr. 3, S. 1697 - 1745Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Higher differentiability for solutions of stationary p-Stokes systemsIn: Mathematische Nachrichten Jg. 293 (2020) Nr. 11, S. 2082 - 2111Online Volltext: dx.doi.org/
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Higher integrability for doubly nonlinear parabolic systemsIn: Journal de Mathématiques Pures et Appliquées Jg. 143 (2020) S. 31 - 72Online Volltext: dx.doi.org/ (Open Access)
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Higher integrability for the singular porous medium systemIn: Journal für die reine und angewandte Mathematik (Crelle's Journal) (2020) Nr. 767, S. 203 - 230Online Volltext: dx.doi.org/ (Open Access)
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Higher integrability in the obstacle problem for the fast diffusion equationIn: Journal of Mathematical Analysis and Applications Jg. 491 (2020) Nr. 2, 124365Online Volltext: dx.doi.org/ (Open Access)
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Hölder Regularity for Singular Parabolic Obstacle Problems of Porous Medium TypeIn: International Mathematics Research Notices (IMRN) (2020) Nr. 6, S. 1671 - 1717Online Volltext: dx.doi.org/
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Integral convexity and parabolic systemsIn: SIAM Journal on Mathematical Analysis Jg. 52 (2020) Nr. 2, S. 1489 - 1525Online Volltext: dx.doi.org/
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On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p, q)-growthIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 150 (2020) Nr. 1, S. 419 - 451Online Volltext: dx.doi.org/
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Der Fluss zur Totalvariation : Nichtlinearität und andere HindernisseIn: Unikate: Berichte aus Forschung und Lehre (2019) Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 55 - 60Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Existence for evolutionary problems with linear growth by stability methodsIn: Journal of Differential Equations Jg. 266 (2019) Nr. 11, S. 7709 - 7748Online Volltext: dx.doi.org/ (Open Access)
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The higher integrability of weak solutions of porous medium systemsIn: Advances in Nonlinear Analysis Jg. 8 (2019) Nr. 1, S. 1004 - 1034Online Volltext: dx.doi.org/ (Open Access)
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The self-improving property of higher integrability in the obstacle problem for the porous medium equationIn: Nonlinear Differential Equations and Applications (NoDEA) Jg. 26 (2019) Nr. 5, S. 37Online Volltext: dx.doi.org/
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A variational approach to doubly nonlinear equationsIn: Rendiconti Lincei: Matematica e Applicazioni Jg. 29 (2018) Nr. 4, S. 739 - 772Online Volltext: dx.doi.org/
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Doubly Nonlinear Equations of Porous Medium TypeIn: Archive for Rational Mechanics and Analysis Jg. 229 (2018) Nr. 2, S. 503 - 545Online Volltext: dx.doi.org/
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Existence of variational solutions in noncylindrical domainsIn: SIAM Journal on Mathematical Analysis Jg. 50 (2018) Nr. 3, S. 3007 - 3057Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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On the dual formulation of obstacle problems for the total variation and the area functionalIn: Annales de l'Institut Henri Poincaré (C): Non Linear Analysis Jg. 35 (2018) Nr. 5, S. 1175 - 1207Online Volltext: dx.doi.org/
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Hölder regularity for degenerate parabolic obstacle problemsIn: Arkiv för Matematik Jg. 55 (2017) Nr. 1, S. 1 - 39Online Volltext: dx.doi.org/ (Open Access)
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The obstacle problem for parabolic minimizersIn: Journal of Evolution Equations Jg. 17 (2017) Nr. 4, S. 1273 - 1310Online Volltext: dx.doi.org/
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BV supersolutions to equations of 1-Laplace and minimal surface typeIn: Journal of Differential Equations Jg. 261 (2016) Nr. 3, S. 1904 - 1932Online Volltext: dx.doi.org/
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Higher differentiability of solutions of parabolic systems with discontinuous coefficientsIn: Journal of the London Mathematical Society Jg. 94 (2016) Nr. 1, S. 1 - 20Online Volltext: dx.doi.org/
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Minimizers of Higher Order Gauge Invariant FunctionalsIn: The Journal of Geometric Analysis Jg. 26 (2016) Nr. 2, S. 1061 - 1108Online Volltext: dx.doi.org/ (Open Access)
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The obstacle problem for the total variation flowIn: Annales Scientifiques de l'ENS (Ecole Normale Superieure) Jg. 49 (2016) Nr. 5, S. 1143 - 1188Online Volltext: dx.doi.org/
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The total variation flow with time dependent boundary valuesIn: Calculus of Variations and Partial Differential Equations Jg. 55 (2016) Nr. 4, S. 108Online Volltext: dx.doi.org/
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A sharp quantitative isoperimetric inequality in hyperbolic n-spaceIn: Calculus of Variations and Partial Differential Equations Jg. 54 (2015) Nr. 4, S. 3967 - 4017Online Volltext: dx.doi.org/
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Existence of localizable solutions to nonlinear parabolic problems with irregular obstaclesIn: Manuscripta Mathematica Jg. 146 (2015) Nr. 1, S. 7 - 63Online Volltext: dx.doi.org/
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Short-time regularity for the H-surface flowIn: International Mathematics Research Notices (IMRN) (2015) Nr. 12, S. 3694 - 3750Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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The evolution of H-surfaces with a plateau boundary conditionIn: Annales de l'Institut Henri Poincaré (C): Non Linear Analysis Jg. 32 (2015) Nr. 1, S. 109 - 157Online Volltext: dx.doi.org/ (Open Access)
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The obstacle problem for the porous medium equationIn: Mathematische Annalen Jg. 363 (2015) Nr. 1-2, S. 455 - 499Online Volltext: dx.doi.org/
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Weak solutions to the heat flow for surfaces of prescribed mean curvatureIn: Transactions of the American Mathematical Society (TRAN) Jg. 365 (2013) Nr. 9, S. 4633 - 4677Online Volltext: dx.doi.org/
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Elliptic obstacle problems with measure data: Potentials and low order regularityIn: Publicacions matemàtiques Jg. 56 (2012) Nr. 2, S. 327 - 374Online Volltext: dx.doi.org/
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Global solutions to the heat flow for $m$-harmonic maps and regularityIn: Indiana University mathematics journal Jg. 61 (2012) Nr. 6, S. 2157 - 2210Online Volltext: dx.doi.org/
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Gradient potential estimates in non-linear elliptic obstacle problems with measure dataIn: Journal of functional analysis Jg. 262 (2012) Nr. 6, S. 2777 - 2832Online Volltext: dx.doi.org/
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Higher integrability in parabolic obstacle problemsIn: Forum mathematicum Jg. 24 (2012) Nr. 5, S. 931 - 972Online Volltext: dx.doi.org/
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Potential estimates in parabolic obstacle problemsIn: Annales Academiae Scientiarum Fennicae. Mathematica Jg. 37 (2012) S. 415 - 443Online Volltext: dx.doi.org/
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Stationary electro-rheological fluids : Low order regularity for systems with discontinuous coefficientsIn: Advances in Calculus of Variations Jg. 5 (2012) Nr. 1, S. 1 - 57Online Volltext: dx.doi.org/
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Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficientsIn: Proceedings of the London Mathematical Society Jg. 103 (2011) Nr. 3, S. 371 - 404Online Volltext: dx.doi.org/
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Partial regularity for subquadratic parabolic systems by A-caloric approximationIn: Revista Matemática Iberoamericana Jg. 27 (2011) Nr. 3, S. 751 - 801
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Asymptotically regular problems I : Higher integrabilityIn: Journal of Differential Equations Jg. 248 (2010) Nr. 4, S. 745 - 791Online Volltext: dx.doi.org/
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Non-linear Calderón–Zygmund theory for parabolic systems with subquadratic growthIn: Journal of Evolution Equations Jg. 10 (2010) Nr. 3, S. 597 - 622Online Volltext: dx.doi.org/
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Regularity for subquadratic parabolic systems: higher integrability and dimension estimatesIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 140 (2010) Nr. 6, S. 1269 - 1308Online Volltext: dx.doi.org/
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An optimal partial regularity result for minimizers of an intrinsically defined second-order functionalIn: Annales de l'Institut Henri Poincare (C) Non Linear Analysis Jg. 26 (2009) Nr. 5, S. 1585 - 1605Online Volltext: dx.doi.org/
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Asymptotically regular problems II : Partial Lipschitz continuity and a singular set of positive measureIn: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze Jg. 8 (2009) Nr. 3, S. 469 - 507Online Volltext: dx.doi.org/
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Regularity of polyharmonic maps in the critical dimensionIn: Communications in Analysis and Geometry (CAG) Jg. 17 (2009) Nr. 2, S. 185 - 226Online Volltext: dx.doi.org/
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Dimension reduction for the singular set of biharmonic mapsIn: Advances in calculus of variations Jg. 1 (2008) Nr. 1, S. 53 - 91Online Volltext: dx.doi.org/
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Partial regularity for stationary harmonic maps at a free boundaryIn: Mathematische Zeitschrift Jg. 253 (2006) Nr. 1, S. 135 - 157Online Volltext: dx.doi.org/
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Variationally harmonic maps with general boundary conditions : Boundary regularityIn: Calculus of variations and partial differential equations Jg. 25 (2006) Nr. 4, S. 409 - 429Online Volltext: dx.doi.org/
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Evolutionary Problems in Non-Cylindrical DomainsIn: Harnack Inequalities and Nonlinear Operators: Proceedings of the INdAM conference to celebrate the 70th birthday of Emmanuele DiBenedetto / INdAM Conference ; June 18th to 24th, 2017, Cortona / Vespri, Vincenzo; Gianazza, Ugo; Monticelli, Dario Daniele; Punzo, Fabio; Andreucci, Daniele (Hrsg.) 2021, S. 43 - 60Online Volltext: dx.doi.org/