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Prof. Dr. Christoph Scheven

Fakultät für Mathematik

Anschrift
Thea-Leyman-Str. 9
45127 Essen
Raum
WSC-O-4.63
Telefon
E-3681 D-2676
E-Mail
christoph.scheven@uni-due.de
Webseite
http://www.uni-due.de/mathematik/ag_scheven.shtml

Funktionen

  • Professor/in, Mathematik

  • Gruppe der Professorinnen und Professoren, Fakultätsrat

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.

    Artikel in Zeitschriften

  • Moring, Kristian; Scheven, Christoph
    On notions of p-parabolic capacity and applications
    In: Potential Analysis, Jg. 63, 2025, Nr. 2, S. 895 – 946
    DOI (Open Access)
  • Moring, Kristian; Scheven, Christoph
    Supercaloric functions for the porous medium equation in the fast diffusion case
    In: Revista Matemática Iberoamericana, Jg. 41, 2025, Nr. 2, S. 509 – 550
    DOI (Open Access)
  • Giannetti, Flavia; Passarelli di Napoli, Antonia; Scheven, Christoph
    Fractional Higher Differentiability for Solutions of Stationary Stokes and Navier-Stokes Systems with Orlicz Growth
    In: Potential Analysis, Jg. 60, 2024, Nr. 2, S. 647 – 672
    DOI (Open Access)
  • Moring, Kristian; Schätzler, Leah; Scheven, Christoph
    Higher integrability for singular doubly nonlinear systems
    In: Annali di Matematica Pura ed Applicata, Jg. 203, 2024, Nr. 5, S. 2235 – 2274
    DOI (Open Access)
  • Moring, Kristian; Scheven, Christoph
    On two notions of solutions to the obstacle problem for the singular porous medium equation
    In: Discrete and Continuous Dynamical Systems: Series A (DCDS-A), Jg. 44, 2024, Nr. 10, S. 3263 – 3286
    DOI, Online Volltext (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
    Boundary regularity for elliptic systems with p,q-growth
    In: Journal de Mathématiques Pures et Appliquées, Jg. 159, 2022, S. 250 – 293
    DOI
  • Bögelein, Verena; Duzaar, Frank; Liao, Naian; Scheven, Christoph
    Boundary regularity for parabolic systems in convex domains
    In: Journal of the London Mathematical Society, Jg. 105, 2022, Nr. 3, S. 1702 – 1751
    DOI (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Liao, Naian; Scheven, Christoph
    Gradient Hölder regularity for degenerate parabolic systems
    In: Nonlinear Analysis: Theory, Methods & Applications, Jg. 225, 2022, 113119
    DOI (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Higher integrability for doubly nonlinear parabolic systems
    In: Partial Differential Equations and Applications, Jg. 3, 2022, Nr. 6, 74
    DOI (Open Access)
  • Kinnunen, Juha; Scheven, Christoph
    On the definition of solution to the total variation flow
    In: Calculus of Variations and Partial Differential Equations, Jg. 61, 2022, Nr. 1, 40
    DOI (Open Access)
  • Altuntas, Serdar; Scheven, Christoph
    Blow-up analysis and boundary regularity for variationally biharmonic maps
    In: Nonlinear Analysis: Theory, Methods & Applications, Jg. 200, 2020, S. 111971
    DOI, Online Volltext (Open Access)
  • Moring, Kristian; Scheven, Christoph; Schwarzacher, Sebastian; Singer, Thomas
    Global higher integrability of weak solutions of porous medium systems
    In: Communications on Pure and Applied Analysis (CPAA), Jg. 19, 2020, Nr. 3, S. 1697 – 1745
    DOI, Online Volltext (Open Access)
  • Giannetti, Flavia; Passarelli di Napoli, Antonia; Scheven, Christoph
    Higher differentiability for solutions of stationary p-Stokes systems
    In: Mathematische Nachrichten, Jg. 293, 2020, Nr. 11, S. 2082 – 2111
    DOI
  • Bögelein, Verena; Duzaar, Frank; Kinnunen, Juha; Scheven, Christoph
    Higher integrability for doubly nonlinear parabolic systems
    In: Journal de Mathématiques Pures et Appliquées, Jg. 143, 2020, S. 31 – 72
    DOI, Online Volltext (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Higher integrability for the singular porous medium system
    In: Journal für die reine und angewandte Mathematik (Crelle's Journal), 2020, Nr. 767, S. 203 – 230
    DOI, Online Volltext (Open Access)
  • Cho, Yumi; Scheven, Christoph
    Higher integrability in the obstacle problem for the fast diffusion equation
    In: Journal of Mathematical Analysis and Applications, Jg. 491, 2020, Nr. 2, 124365
    DOI, Online Volltext (Open Access)
  • Cho, Yumi; Scheven, Christoph
    Hölder Regularity for Singular Parabolic Obstacle Problems of Porous Medium Type
    In: International Mathematics Research Notices (IMRN), 2020, Nr. 6, S. 1671 – 1717
    DOI
  • Bögelein, Verena; Dacorogna, Bernard; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
    Integral convexity and parabolic systems
    In: SIAM Journal on Mathematical Analysis, Jg. 52, 2020, Nr. 2, S. 1489 – 1525
    DOI
  • Giannetti, Flavia; Passarelli di Napoli, Antonia; Scheven, Christoph
    On higher differentiability of solutions of parabolic systems with discontinuous coefficients and (p, q)-growth
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, Jg. 150, 2020, Nr. 1, S. 419 – 451
    DOI
  • Scheven, Christoph
    Der Fluss zur Totalvariation : Nichtlinearität und andere Hindernisse
    In: Unikate: Berichte aus Forschung und Lehre, 2019, Nr. 53: Mathematik - Herausforderung des Nichtlinearen, S. 55 – 60
    DOI, Online Volltext (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Schätzler, Leah; Scheven, Christoph
    Existence for evolutionary problems with linear growth by stability methods
    In: Journal of Differential Equations, Jg. 266, 2019, Nr. 11, S. 7709 – 7748
    DOI (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Korte, Riikka; Scheven, Christoph
    The higher integrability of weak solutions of porous medium systems
    In: Advances in Nonlinear Analysis, Jg. 8, 2019, Nr. 1, S. 1004 – 1034
    DOI (Open Access)
  • Cho, Yumi; Scheven, Christoph
    The self-improving property of higher integrability in the obstacle problem for the porous medium equation
    In: Nonlinear Differential Equations and Applications (NoDEA), Jg. 26, 2019, Nr. 5, S. 37
    DOI
  • Duzaar, Frank; Bögelein, Verena; Scheven, Christoph; Marcellini, Paolo
    A variational approach to doubly nonlinear equations
    In: Rendiconti Lincei: Matematica e Applicazioni, Jg. 29, 2018, Nr. 4, S. 739 – 772
    DOI
  • Bögelein, Verena; Duzaar, Frank; Marcellini, Paolo; Scheven, Christoph
    Doubly Nonlinear Equations of Porous Medium Type
    In: Archive for Rational Mechanics and Analysis, Jg. 229, 2018, Nr. 2, S. 503 – 545
    DOI
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph; Singer, Thomas
    Existence of variational solutions in noncylindrical domains
    In: SIAM Journal on Mathematical Analysis, Jg. 50, 2018, Nr. 3, S. 3007 – 3057
    DOI, Online Volltext (Open Access)
  • Scheven, Christoph; Schmidt, Thomas
    On the dual formulation of obstacle problems for the total variation and the area functional
    In: Annales de l'Institut Henri Poincaré (C): Non Linear Analysis, Jg. 35, 2018, Nr. 5, S. 1175 – 1207
    DOI
  • Bögelein, Verena; Lukkari, Teemu; Scheven, Christoph
    Hölder regularity for degenerate parabolic obstacle problems
    In: Arkiv för Matematik, Jg. 55, 2017, Nr. 1, S. 1 – 39
    DOI (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    The obstacle problem for parabolic minimizers
    In: Journal of Evolution Equations, Jg. 17, 2017, Nr. 4, S. 1273 – 1310
    DOI
  • Scheven, Christoph; Schmidt, Thomas
    BV supersolutions to equations of 1-Laplace and minimal surface type
    In: Journal of Differential Equations, Jg. 261, 2016, Nr. 3, S. 1904 – 1932
    DOI
  • Giannetti, Flavia; Passarelli di Napoli, Antonia; Scheven, Christoph
    Higher differentiability of solutions of parabolic systems with discontinuous coefficients
    In: Journal of the London Mathematical Society, Jg. 94, 2016, Nr. 1, S. 1 – 20
    DOI
  • Gastel, Andreas; Scheven, Christoph
    Minimizers of Higher Order Gauge Invariant Functionals
    In: The Journal of Geometric Analysis, Jg. 26, 2016, Nr. 2, S. 1061 – 1108
    DOI, Online Volltext (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    The obstacle problem for the total variation flow
    In: Annales Scientifiques de l'ENS (Ecole Normale Superieure), Jg. 49, 2016, Nr. 5, S. 1143 – 1188
    DOI
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    The total variation flow with time dependent boundary values
    In: Calculus of Variations and Partial Differential Equations, Jg. 55, 2016, Nr. 4, S. 108
    DOI
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    A sharp quantitative isoperimetric inequality in hyperbolic n-space
    In: Calculus of Variations and Partial Differential Equations, Jg. 54, 2015, Nr. 4, S. 3967 – 4017
    DOI
  • Scheven, Christoph
    Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles
    In: Manuscripta Mathematica, Jg. 146, 2015, Nr. 1, S. 7 – 63
    DOI
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Short-time regularity for the H-surface flow
    In: International Mathematics Research Notices (IMRN), 2015, Nr. 12, S. 3694 – 3750
    DOI, Online Volltext (Open Access)
  • Duzaar, Frank; Scheven, Christoph
    The evolution of H-surfaces with a plateau boundary condition
    In: Annales de l'Institut Henri Poincaré (C): Non Linear Analysis, Jg. 32, 2015, Nr. 1, S. 109 – 157
    DOI, Online Volltext (Open Access)
  • Bögelein, Verena; Lukkari, Teemu; Scheven, Christoph
    The obstacle problem for the porous medium equation
    In: Mathematische Annalen, Jg. 363, 2015, Nr. 1-2, S. 455 – 499
    DOI
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Weak solutions to the heat flow for surfaces of prescribed mean curvature
    In: Transactions of the American Mathematical Society (TRAN), Jg. 365, 2013, Nr. 9, S. 4633 – 4677
    DOI
  • Scheven, Christoph
    Elliptic obstacle problems with measure data: Potentials and low order regularity
    In: Publicacions Matematiques, Jg. 56, 2012, Nr. 2, S. 327 – 374
    DOI
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Global solutions to the heat flow for $m$-harmonic maps and regularity
    In: Indiana University Mathematics Journal, Jg. 61, 2012, Nr. 6, S. 2157 – 2210
    DOI
  • Scheven, Christoph
    Gradient potential estimates in non-linear elliptic obstacle problems with measure data
    In: Journal of Functional Analysis, Jg. 262, 2012, Nr. 6, S. 2777 – 2832
    DOI
  • Bögelein, Verena; Scheven, Christoph
    Higher integrability in parabolic obstacle problems
    In: Forum Mathematicum, Jg. 24, 2012, Nr. 5, S. 931 – 972
    DOI
  • Scheven, Christoph
    Potential estimates in parabolic obstacle problems
    In: Annales Academiae Scientiarum Fennicae Mathematica, Jg. 37, 2012, S. 415 – 443
    DOI
  • Bögelein, Verena; Duzaar, Frank; Habermann, Jens; Scheven, Christoph
    Stationary electro-rheological fluids : Low order regularity for systems with discontinuous coefficients
    In: Advances in Calculus of Variations, Jg. 5, 2012, Nr. 1, S. 1 – 57
    DOI
  • Bögelein, Verena; Duzaar, Frank; Habermann, Jens; Scheven, Christoph
    Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
    In: Proceedings of the London Mathematical Society, Jg. 103, 2011, Nr. 3, S. 371 – 404
    DOI
  • Scheven, Christoph
    Partial regularity for subquadratic parabolic systems by A-caloric approximation
    In: Revista Matemática Iberoamericana, Jg. 27, 2011, Nr. 3, S. 751 – 801
    Online Volltext
  • Scheven, Christoph; Schmdit, Thomas
    Asymptotically regular problems I : Higher integrability
    In: Journal of Differential Equations, Jg. 248, 2010, Nr. 4, S. 745 – 791
    DOI
  • Scheven, Christoph
    Non-linear Calderón–Zygmund theory for parabolic systems with subquadratic growth
    In: Journal of Evolution Equations, Jg. 10, 2010, Nr. 3, S. 597 – 622
    DOI
  • Scheven, Christoph
    Regularity for subquadratic parabolic systems: higher integrability and dimension estimates
    In: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics, Jg. 140, 2010, Nr. 6, S. 1269 – 1308
    DOI
  • Scheven, Christoph
    An optimal partial regularity result for minimizers of an intrinsically defined second-order functional
    In: Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Jg. 26, 2009, Nr. 5, S. 1585 – 1605
    DOI
  • Scheven, Christoph; Schmidt, Thomas
    Asymptotically regular problems II : Partial Lipschitz continuity and a singular set of positive measure
    In: Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, Jg. 8, 2009, Nr. 3, S. 469 – 507
    DOI
  • Gastel, Andreas; Scheven, Christoph
    Regularity of polyharmonic maps in the critical dimension
    In: Communications in Analysis and Geometry (CAG), Jg. 17, 2009, Nr. 2, S. 185 – 226
    DOI
  • Scheven, Christoph
    Dimension reduction for the singular set of biharmonic maps
    In: Advances in calculus of variations, Jg. 1, 2008, Nr. 1, S. 53 – 91
    DOI
  • Scheven, Christoph
    Partial regularity for stationary harmonic maps at a free boundary
    In: Mathematische Zeitschrift, Jg. 253, 2006, Nr. 1, S. 135 – 157
    DOI
  • Scheven, Christoph
    Variationally harmonic maps with general boundary conditions : Boundary regularity
    In: Calculus of variations and partial differential equations, Jg. 25, 2006, Nr. 4, S. 409 – 429
    DOI

    • Beiträge in Sammelwerken und Tagungsbänden

  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Evolutionary Problems in Non-Cylindrical Domains
    In: 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.). Cham: Springer, 2021, S. 43 – 60
    DOI