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Mathematics

D-Index
41
Citations
8824
World Ranking
1881
National Ranking
112

Overview

Lars Diening is affiliated with Bielefeld University in Germany and has a research focus centered on mathematics and its applications across engineering and computer science. Their academic work spans several interrelated fields, including applied mathematics, computational theory and mathematics, computational mechanics, mathematical physics, and mechanics of materials.

Their main research topics include nonlinear partial differential equations, advanced mathematical modeling in engineering, advanced numerical methods in computational mathematics, advanced harmonic analysis research, advanced mathematical physics problems, advanced numerical analysis techniques, and numerical methods in engineering.

Key recent papers authored by Lars Diening include:

  • A Relaxed Kačanov iteration for the p-poisson problem, 2020, Numerische Mathematik
  • Elliptic Equations with Degenerate Weights, 2022, SIAM Journal on Mathematical Analysis
  • Global Schauder Estimates for the p-Laplace System, 2021, Archive for Rational Mechanics and Analysis
  • The parabolic p-Laplacian with fractional differentiability, 2020, IMA Journal of Numerical Analysis
  • Global maximal regularity for equations with degenerate weights, 2023, Journal de Mathématiques Pures et Appliquées

Lars Diening frequently publishes in several established venues, including:

  • arXiv (Cornell University)
  • Numerische Mathematik
  • SIAM Journal on Numerical Analysis
  • Calculus of Variations and Partial Differential Equations
  • IMA Journal of Numerical Analysis

Their collaborative work includes frequent co-authors such as Johannes Storn, Anna Kh. Balci, Simon Nowak, Ho-Sik Lee, and Tabea Tscherpel.

Best Publications

  • Lebesgue and Sobolev Spaces with Variable Exponents

    Lars Diening;Petteri Harjulehto;Peter Hästö;Michael Ruzicka

  • Maximal function on generalized Lebesgue spaces $L^{p(\cdot)}$

    Lars Diening

  • Calderón-Zygmund operators on generalized Lebesgue spaces $L^{p(\cdot)}$ and problems related to fluid dynamics

    Lars Diening;Michael Růžička

  • Riesz potential and Sobolev embeddings on generalized Lebesgue and Sobolev spaces Lp(·) and Wk,p(·)

    Lars Diening

  • Maximal function on Musielak–Orlicz spaces and generalized Lebesgue spaces

    Lars Diening

  • Function spaces of variable smoothness and integrability

    Lars Diening;Peter Hästö;Svetlana Roudenko

  • Fractional estimates for non-differentiable elliptic systems with general growth

    Lars Diening;Frank Ettwein

  • Existence of weak solutions for unsteady motions of generalized Newtonian fluids

    Lars Diening;Michael Růžička;Jörg Wolf

  • A decomposition technique for John domains

    Lars Diening;Michael Ruzicka;Katrin Schumacher

  • Linear Convergence of an Adaptive Finite Element Method for the $p$-Laplacian Equation

    Lars Diening;Christian Kreuzer

  • The maximal operator on weighted variable Lebesgue spaces

    David Cruz-Uribe;Lars Diening;Peter Hästö

  • Everywhere regularity of functionals with φ-growth

    Lars Diening;Bianca Stroffolini;Anna Verde

  • On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications

    Lars Diening;Josef Málek;Mark Steinhauer

  • MAXIMAL FUNCTIONS IN VARIABLE EXPONENT SPACES: LIMITING CASES OF THE EXPONENT

    Lars Diening;Petteri Harjulehto;Peter Hästö;Yoshihiro Mizuta

  • Optimality of an adaptive finite element method for the p-Laplacian equation

    Liudmila Belenki;Lars Diening;Christian Kreuzer

  • Interpolation operators in Orlicz–Sobolev spaces

    L. Diening;M. Růžička

  • Hardy inequality in variable exponent Lebesgue spaces

    Lars Diening;Stefan G. Samko

  • Existence of Strong Solutions for Incompressible Fluids with Shear Dependent Viscosities

    Luigi C. Berselli;Lars Diening;Michael Růžička

  • BMO estimates for the p-Laplacian

    L. Diening;P. Kaplický;S. Schwarzacher

  • Optimal Convergence for the Implicit Space-Time Discretization of Parabolic Systems with $p$-Structure

    Lars Diening;Carsten Ebmeyer;Michael Ru ring;z caron

  • Strong Solutions for Generalized Newtonian Fluids

    Lars Diening;Michael Růžička

Frequent Co-Authors

Michael Růžička
Michael Růžička University of Freiburg
Peter Hästö
Peter Hästö University of Helsinki
Petteri Harjulehto
Petteri Harjulehto University of Helsinki
Andrea Cianchi
Andrea Cianchi University of Florence
Tuomo Kuusi
Tuomo Kuusi University of Helsinki
Endre Süli
Endre Süli University of Oxford
David Cruz-Uribe
David Cruz-Uribe University of Alabama
Massimo Fornasier
Massimo Fornasier Technical University of Munich
Stephan Dahlke
Stephan Dahlke Philipp University of Marburg
Ricardo H. Nochetto
Ricardo H. Nochetto University of Maryland, College Park

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