World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
36
Citations
6597
World Ranking
2611
National Ranking
160

Overview

Lutz Weis is affiliated with the Karlsruhe Institute of Technology in Germany. Their research spans multiple disciplines, primarily focusing on Mathematics, with contributions also in Computer Science and Engineering.

The scientist's work concentrates on several main topics including:

  • Advanced Mathematical Modeling in Engineering
  • Holomorphic and Operator Theory
  • Algebraic and Geometric Analysis
  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Advanced Banach Space Theory
  • Advanced mathematical theories

Within their fields of study, Weis engages specifically in subfields such as:

  • Mathematical Physics
  • Applied Mathematics
  • Computational Theory and Mathematics
  • Control and Systems Engineering

Lutz Weis has authored notable recent papers including:

  • Euclidean Structures and Operator Theory in Banach Spaces (2023), published in Memoirs of the American Mathematical Society
  • Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds (2022), published in Stochastic Partial Differential Equations Analysis and Computations

The scientist has published a book titled Analysis in Banach Spaces (2023) with Springer International Publishing.

Frequent collaborators in Weis's research include:

  • Tuomas Hytönen
  • Jan van Neerven
  • Mark Veraar
  • N. J. Kalton
  • Emiel Lorist

The primary publication venues linked to Weis's research output are:

  • Memoirs of the American Mathematical Society
  • Stochastic Partial Differential Equations Analysis and Computations

Best Publications

  • Operator–valued Fourier multiplier theorems and maximal $L_p$-regularity

    Lutz Weis

  • Analysis in Banach Spaces

    Tuomas Hytönen;Lutz Weis;Jan van Neerven;Mark Veraar

  • The H ∞ −calculus and sums of closed operators

    N. J. Kalton;L. Weis

  • Maximal Lp-regularity for Parabolic Equations, Fourier Multiplier Theorems and $H^\infty$-functional Calculus

    Peer C. Kunstmann;Lutz Weis

  • The $H^{\infty}-$calculus and sums of closed operators

    N.J. Kalton;L. Weis

  • Stochastic integration in UMD Banach spaces

    J.M.A.M. Van Neerven;Mark Veraar;Lutz Weis

  • Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory

    Tuomas Hytönen;Lutz Weis;Jan van Neerven;Mark Veraar

  • Stochastic evolution equations in UMD Banach spaces

    J.M.A.M. Van Neerven;M.C. Veraar;L. Weis

  • A New Approach to Maximal Lp -Regularity

    Lutz Weis

  • Stochastic integration of functions with values in a Banach space

    J. M. A. M. van Neerven;L. Weis

  • Operator–valued Fourier multiplier theorems on Besov spaces

    Maria Girardi;Maria Girardi;Lutz Weis

  • Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation

    Z. Brzeźniak;J.M.A.M. van Neerven;M.C. Veraar;L. Weis

  • Maximal $L^p$-Regularity for Stochastic Evolution Equations

    Jan van Neerven;Mark Veraar;Lutz Weis

  • Erratum to: Perturbation and interpolation theorems for the H ∞-calculus with applications to differential operators

    Peer Kunstmann;Lutz Weis

  • Stochastic maximal Lp-regularity

    Jan van Neerven;Mark Veraar;Lutz Weis

  • Operator-valued Fourier multiplier theorems on Lp(X) and geometry of Banach spaces

    Maria Girardi;Lutz Weis

  • A generalization of the Vidav-Jorgens perturbation theorem for semigroups and its application to transport theory

    L.W. Weis

  • Stochastic maximal $L^p$-regularity

    Jan van Neerven;Mark Veraar;Lutz Weis

  • Perturbation and Interpolation Theorems for the H∞-Calculus with Applications to Differential Operators

    Unknown

  • Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory

    Tuomas Hytönen;Jan van Neerven;Mark Veraar;Lutz Weis

  • Functional Analytic Methods for Evolution Equations

    Giuseppe Da Prato;Peer C. Kunstmann;Lutz Weis;Irena Lasiecka

  • Semigroups of linear operators

    Tuomas Hytönen;Jan van Neerven;Mark Veraar;Lutz Weis

Frequent Co-Authors

Tuomas Hytönen
Tuomas Hytönen Aalto University
Nigel J. Kalton
Nigel J. Kalton University of Missouri
Zdzisław Brzeźniak
Zdzisław Brzeźniak University of York
Walter Schachermayer
Walter Schachermayer University of Vienna
Giuseppe Da Prato
Giuseppe Da Prato Scuola Normale Superiore di Pisa
Irena Lasiecka
Irena Lasiecka University of Memphis
Alan McIntosh
Alan McIntosh Australian National University

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