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Wolfgang Arendt

Wolfgang Arendt

D-Index & Metrics

Mathematics

D-Index
40
Citations
10361
World Ranking
1998
National Ranking
126

Overview

Wolfgang Arendt is affiliated with the University of Ulm in Germany and specializes in the fields of Mathematics and Computer Science. Their research primarily spans applied mathematics, computational theory and mathematics, mathematical physics, control and systems engineering, and computational mechanics.

Their work encompasses several main topics including advanced mathematical modeling in engineering, nonlinear partial differential equations, numerical methods in inverse problems, stability and controllability of differential equations, spectral theory in mathematical physics, advanced numerical methods in computational mathematics, and matrix theory and algorithms.

Published contributions by Wolfgang Arendt appear in various frequent publication venues such as:

  • arXiv (Cornell University)
  • Journal of Mathematical Analysis and Applications
  • Illinois Journal of Mathematics
  • IMA Journal of Numerical Analysis
  • DOAJ (DOAJ: Directory of Open Access Journals)

Some recent papers authored by Wolfgang Arendt include:

  • Strict Positivity for the Principal Eigenfunction of Elliptic Operators with Various Boundary Conditions, 2020, DOAJ (DOAJ: Directory of Open Access Journals)
  • Lions' representation theorem and applications, 2022, Journal of Mathematical Analysis and Applications
  • Extensions of dissipative and symmetric operators, 2023, Semigroup Forum
  • Semilinear elliptic equations on rough domains, 2022, Journal of Differential Equations
  • Denjoy-Wolff theory and spectral properties of weighted composition operators on Hol(D), 2022, Illinois Journal of Mathematics

Wolfgang Arendt has collaborated frequently with several coauthors, including:

  • Karsten Urban
  • Isabelle Chalendar
  • Robert Eymard
  • Manfred Sauter
  • A. F. M. ter Elst

In addition to research articles, Wolfgang Arendt has contributed to book publications. Notably, they authored a book titled Partial Differential Equations, published by Springer Nature in 2023, which has garnered citations within the academic community.

Best Publications

  • One-parameter Semigroups of Positive Operators

    Wolfgang Arendt;Annette Grabosch;Günther Greiner;Ulrich Moustakas

  • Vector-Valued Laplace Transforms and Cauchy Problems

    Wolfgang Arendt;Charles J. K. Batty;Matthias Hieber;Frank Neubrander

  • Tauberian theorems and stability of one-parameter semigroups

    W. Arendt;C. J. K. Batty

  • Resolvent Positive Operators

    Wolfgang Arendt

  • The operator-valued Marcinkiewicz multiplier theorem and maximal regularity

    Wolfgang Arendt;Shangquan Bu

  • Gaussian estimates for second order elliptic operators with boundary conditions

    W Arendt;ter Afm Tom Elst

  • OPERATOR-VALUED FOURIER MULTIPLIERS ON PERIODIC BESOV SPACES AND APPLICATIONS

    Wolfgang Arendt;Shangquan Bu

  • Weyl's Law: Spectral Properties of the Laplacian in Mathematics and Physics

    Wolfgang Arendt;Robin Nittka;Wolfgang Peter;Frank Steiner

  • L p -maximal regularity for non-autonomous evolution equations

    Wolfgang Arendt;Ralph Chill;Simona Fornaro;César Poupaud

  • Gaussian estimates and interpolation of the spectrum in $L^p$

    Wolfgang Arendt

  • The Laplacian with Robin Boundary Conditions on Arbitrary Domains

    Wolfgang Arendt;Mahamadi Warma

  • Friedlander's eigenvalue inequalities and the Dirichlet-to-Neumann semigroup

    Wolfgang Arendt;Rafe Mazzeo

  • Sectorial forms and degenerate differential operators

    W. Arendt;A. F. M. ter Elst

  • Almost Periodic Solutions of First- and Second-Order Cauchy Problems

    W. Arendt;C.J.K. Batty

  • The Dirichlet-to-Neumann operator on rough domains

    W. Arendt;A.F.M. ter Elst

  • Local Integrated Semigroups: Evolution with Jumps of Regularity

    Unknown

  • Integral representations of resolvents and semigroups

    Wolfgang Arendt;Alexander V. Bukhvalov

  • The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions

    W. Arendt;G. Metafune;D. Pallara;S. Romanell

  • Vector-valued holomorphic functions revisited

    Wolfgang Arendt;Nicolai Nikolski

  • Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations,

    Wolfgang Arendt;Jan Prüss

  • Chapter 1 Semigroups and evolution equations: Functional calculus, regularity and kernel estimates

    Wolfgang Arendt

  • The Laplacian with Wentzell-Robin boundary conditions on spaces of continuous functions

    Wolfgang Arendt;G. Metafune;D. Pallara;S. Romanelli

Frequent Co-Authors

Rafe Mazzeo
Rafe Mazzeo Stanford University
Wolfgang P. Schleich
Wolfgang P. Schleich University of Ulm
Serge Nicaise
Serge Nicaise University Polytechnic Hauts-de-France
Herbert Amann
Herbert Amann University of Zurich
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Volker Schmidt
Volker Schmidt University of Ulm

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