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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

  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • Moring, Kristian; Schätzler, Leah; Scheven, Christoph
    Higher integrability for singular doubly nonlinear systems
    In: Annali di Matematica Pura ed Applicata (2024) in press
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ 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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/ (Open Access)
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    The obstacle problem for the total variation flow
    In: Annales scientifiques de l'Ecole Normale Supérieure Jg. 49 (2016) Nr. 5, S. 1143 - 1188
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Existence of localizable solutions to nonlinear parabolic problems with irregular obstacles
    In: Manuscripta Mathematica Jg. 146 (2015) Nr. 1, S. 7 - 63
    Online Volltext: dx.doi.org/
  • Bögelein, Verena; Duzaar, Frank; Scheven, Christoph
    Short-time regularity for the H-surface flow
    In: International mathematics research notices (2015) Nr. 12, S. 3694 - 3750
    Online Volltext: dx.doi.org/ Online Volltext (Open Access)
  • Duzaar, Frank; Scheven, Christoph
    The evolution of H-surfaces with a plateau boundary condition
    In: Annales de l'Institut Henri Poincare : Analyse non lineaire = nonlinear analysis Jg. 32 (2015) Nr. 1, S. 109 - 157
    Online Volltext: dx.doi.org/ (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
    Online Volltext: dx.doi.org/
  • 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 Jg. 365 (2013) Nr. 9, S. 4633 - 4677
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Elliptic obstacle problems with measure data: Potentials and low order regularity
    In: Publicacions matemàtiques Jg. 56 (2012) Nr. 2, S. 327 - 374
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Bögelein, Verena; Scheven, Christoph
    Higher integrability in parabolic obstacle problems
    In: Forum mathematicum Jg. 24 (2012) Nr. 5, S. 931 - 972
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Potential estimates in parabolic obstacle problems
    In: Annales Academiae Scientiarum Fennicae. Mathematica Jg. 37 (2012) S. 415 - 443
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Partial regularity for subquadratic parabolic systems by A-caloric approximation
    In: Revista Matemática Iberoamericana / Real Sociedad Matemática Española (Hrsg.) 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
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Non-linear Calderón–Zygmund theory for parabolic systems with subquadratic growth
    In: Journal of evolution equations : JEE Jg. 10 (2010) Nr. 3, S. 597 - 622
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Regularity for subquadratic parabolic systems: higher integrability and dimension estimates
    In: Proceedings / Royal Society of Edinburgh. Section A Jg. 140 (2010) Nr. 6, S. 1269 - 1308
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/
  • Scheven, Christoph
    Partial regularity for stationary harmonic maps at a free boundary
    In: Mathematische Zeitschrift Jg. 253 (2006) Nr. 1, S. 135 - 157
    Online Volltext: dx.doi.org/
  • 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
    Online Volltext: dx.doi.org/

    • 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.) 2021, S. 43 - 60
    Online Volltext: dx.doi.org/