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Mathematics

D-Index
35
Citations
3985
World Ranking
2821
National Ranking
174

Overview

Frank Duzaar is affiliated with the University of Erlangen-Nuremberg in Germany and specializes in the field of Mathematics. Their research focuses mainly on applied mathematics and computational theory, with significant contributions to mathematical physics and control and systems engineering.

Their work extensively addresses topics including nonlinear partial differential equations, advanced mathematical modeling in engineering, and numerical methods in inverse problems. Additional research interests encompass geometric analysis and curvature flows, stability and controllability of differential equations, differential equations and boundary problems, as well as nonlinear differential equations analysis.

Frequent coauthors collaborating with Frank Duzaar include Verena Bögelein, Franz Printing, Druck Stückle, Jan Hendrik Bruinier, and Valentin Blomer.

Key publication venues for their work include:

  • Forum Mathematicum
  • Advances in Calculus of Variations
  • arXiv (Cornell University)
  • Journal de Mathématiques Pures et Appliquées
  • Journal of Functional Analysis

Recent papers authored or coauthored by Frank Duzaar highlight various aspects of nonlinear and parabolic systems analysis. These include:

  • On the Hölder regularity of signed solutions to a doubly nonlinear equation, 2021, Journal of Functional Analysis
  • Higher integrability for doubly nonlinear parabolic systems, 2020, Journal de Mathématiques Pures et Appliquées
  • Boundary regularity for elliptic systems with p,q-growth, 2021, Journal de Mathématiques Pures et Appliquées
  • Higher regularity in congested traffic dynamics, 2022, Mathematische Annalen
  • Integral Convexity and Parabolic Systems, 2020, SIAM Journal on Mathematical Analysis

Best Publications

  • Gradient estimates via non-linear potentials

    Frank Duzaar;Giuseppe Mingione

  • Gradient estimates via linear and nonlinear potentials

    Frank Duzaar;Giuseppe Mingione

  • Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals

    Frank Duzaar;Klaus Steffen

  • Optimal interior partial regularity for nonlinear elliptic systems: the method of A-harmonic approximation

    Frank Duzaar;Joseph F. Grotowski

  • Parabolic systems with polynomial growth and regularity

    Frank Duzaar;Giuseppe Mingione;Klaus Steffen

  • Degenerate problems with irregular obstacles

    Verena Bögelein;Frank Duzaar;Giuseppe Mingione

  • The p -harmonic approximation and the regularity of p -harmonic maps

    Frank Duzaar;Giuseppe Mingione

  • Parabolic Systems with p, q-Growth: A Variational Approach

    Verena Bögelein;Frank Duzaar;Paolo Marcellini

  • Second order parabolic systems, optimal regularity, and singular sets of solutions

    Frank Duzaar;Giuseppe Mingione

  • Gradient continuity estimates

    Frank Duzaar;Giuseppe Mingione

  • The Regularity of General Parabolic Systems With Degenerate Diffusion

    Verena Bögelein;Frank Duzaar;Giuseppe Mingione

  • Local Lipschitz regularity for degenerate elliptic systems

    Frank Duzaar;Giuseppe Mingione

  • Existence of evolutionary variational solutions via the calculus of variations

    Verena Bögelein;Frank Duzaar;Paolo Marcellini

  • Regularity for degenerate elliptic problems via p-harmonic approximation

    Frank Duzaar;Giuseppe Mingione

  • Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth

    Frank Duzaar;Joseph F. Grotowski;Manfred Kronz

  • The existence of regular boundary points for non-linear elliptic systems

    Frank Duzaar;Jan Kristensen;Giuseppe Mingione

  • Higher integrability for parabolic systems with non-standard growth and degenerate diffusions

    Verena Bögelein;Frank Duzaar

  • PARTIAL REGULARITY FOR ALMOST MINIMIZERS OF QUASI-CONVEX INTEGRALS ∗

    Frank Duzaar;Andreas Gastel;Joseph F. Grotowski

  • Nonlinear elliptic systems with Dini continuous coefficients

    F. Duzaar;A. Gastel

  • Harmonic type approximation lemmas

    Frank Duzaar;Giuseppe Mingione

  • Parabolic equations with p, q-growth

    Verena Bögelein;Frank Duzaar;Paolo Marcellini

  • Second order parabolic systems, optimal regularity, and singular sets of solutions Systèmes paraboliques de la deuxième ordre, regularité optimale, et des ensembles singuliers des solutions

    Frank Duzaar;Giuseppe Mingione

Frequent Co-Authors

Giuseppe Mingione
Giuseppe Mingione University of Parma
Paolo Marcellini
Paolo Marcellini University of Florence
Nicola Fusco
Nicola Fusco University of Naples Federico II

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