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Prof. Dr. rer. nat. Georg Weiß

Fakultät für Mathematik

Anschrift
Thea-Leymann-Str. 9
45127 Essen
Raum
WSC-O-4.46
Telefon
0201/183-7429
Telefax
0201/183-2426
E-Mail
georg.weiss@uni-due.de

Funktionen

  • Professor/in, Mathematik

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

  • Salib, Anthony; Weiss, Georg S.
    Classification of global solutions to the obstacle problem in the plane
    In: Advances in Mathematics, Jg. 472, 2025, 110276
    DOI (Open Access)
  • Eberle, Simon; Figalli, Alessio; Weiß, Georg
    Complete classification of global solutions to the obstacle problem
    In: Annals of Mathematics, Jg. 201, 2025, Nr. 1, S. 167 – 224
    DOI, Online Volltext (Open Access)
  • Kriventsov, Dennis; Weiss, Georg S.
    Rectifiability, finite Hausdorff measure, and compactness for non-minimizing Bernoulli free boundaries
    In: Communications on Pure and Applied Mathematics, Jg. 78, 2025, Nr. 3, S. 545 – 591
    DOI (Open Access)
  • Eberle, Simon; Jentzen, Arnulf; Riekert, Adrian; Weiß, Georg
    Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation
    In: Electronic Research Archive (ERA), Jg. 31, 2023, Nr. 5, S. 2519 – 2554
    DOI (Open Access)
  • Eberle, Simon; Shahgholian, Henrik; Weiß, Georg
    On global solutions of the obstacle problem
    In: Duke Mathematical Journal (DMJ), Jg. 172, 2023, Nr. 11, S. 2149 – 2193
    DOI, Online Volltext (Open Access)
  • Eberle, Simon; Shahgholian, Henrik; Weiß, Georg
    The structure of the regular part of the free boundary close to singularities in the obstacle problem
    In: Journal of Differential Equations, Jg. 377, 2023, S. 873 – 887
    DOI (Open Access)
  • Aleksanyan, Gohar; Fotouhi, Morteza M.; Shahgholian, Henrik; Weiß, Georg
    Regularity of the free boundary for a parabolic cooperative system
    In: Calculus of Variations and Partial Differential Equations, Jg. 61, 2022, Nr. 4, 124
    DOI (Open Access)
  • Fotouhi, Morteza; Shahgholian, Henrik; Weiß, Georg
    A free boundary problem for an elliptic system
    In: Journal of Differential Equations, Jg. 284, 2021, S. 126 – 155
    DOI
  • Eberle, Simon; Weiß, Georg
    Characterizing compact coincidence sets in the obstacle problem : A short proof
    In: St. Petersburg Mathematical Journal, Jg. 32, 2021, Nr. 4, S. 705 – 711
    DOI, Online Volltext (Open Access)
  • Eberle, Simon; Ros-Oton, Xavier; Weiß, Georg
    Characterizing compact coincidence sets in the thin obstacle problem and the obstacle problem for the fractional Laplacian
    In: Nonlinear Analysis: Theory, Methods & Applications, Jg. 211, 2021, 112473
    DOI, Online Volltext (Open Access)
  • Fotouhi, Morteza; Minne, Andreas; Shahgholian, Henrik; Weiß, Georg
    Remarks on the decay/growth rate of solutions to elliptic free boundary problems of obstacle type
    In: Mathematics in Engineering (MinE), Jg. 2, 2020, Nr. 4, S. 698 – 708
    DOI (Open Access)
  • Smit Vega Garcia, Mariana; Vărvărucă, Eugen; Weiß, Georg
    Singularities in Axisymmetric Free Boundaries for ElectroHydroDynamic Equations
    In: Archive for Rational Mechanics and Analysis, Jg. 222, 2016, Nr. 2, S. 573 – 601
    DOI, Online Volltext (Open Access)
  • Andersson, John; Shahgholian, Henrik; Uraltseva, Nina N.; Weiß, Georg
    Equilibrium points of a singular cooperative system with free boundary
    In: Advances in Mathematics, Jg. 280, 2015, S. 743 – 771
    DOI, Online Volltext (Open Access)

    • Beiträge in Sammelwerken und Tagungsbänden

  • Weiß, Georg
    Bernoulli Type Free Boundary Problems and Water Waves
    In: Geometric Measure Theory and Free Boundary Problems: Cetraro, Italy 2019 / CIME summer school "Geometric Measure Theory and Free Boundary Problems, 02.-06.09.2019, Cetraro / Focardi, Matteo; Spadaro, Emanuele (Hrsg.). Cham: Springer, 2021, S. 89 – 136
    DOI