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Mathematics

D-Index
43
Citations
7028
World Ranking
1705
National Ranking
100

Overview

Pascal Auscher is affiliated with the University of Paris-Saclay in France. Their research primarily focuses on advanced fields within mathematics and computer science, with a significant number of publications contributing to applied mathematics, mathematical physics, and computational theory.

Their work spans various subfields including applied mathematics, mathematical physics, computational theory and mathematics, control and systems engineering, and modeling and simulation.

Main topics covered in their research include:

  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Differential Equations and Boundary Problems
  • Mathematical Analysis and Transform Methods
  • Spectral Theory in Mathematical Physics

Auscher has authored numerous papers in reputable venues. Some of the recent papers include:

  • "A universal variational framework for parabolic equations and systems" (2023), published in Calculus of Variations and Partial Differential Equations
  • "Stochastic and deterministic parabolic equations with bounded measurable coefficients in space and time: Well-posedness and maximal regularity" (2024), published in Journal of Differential Equations
  • "On well-posedness for parabolic Cauchy problems of Lions type with rough initial data" (2025), published in Mathematische Annalen
  • "L² well-posedness of boundary value problems for parabolic systems with measurable coefficients" (2020), published in Journal of the European Mathematical Society
  • "Fundamental Solutions to Kolmogorov-Fokker-Planck Equations with Rough Coefficients: Existence, Uniqueness, Upper Estimates" (2025), published in SIAM Journal on Mathematical Analysis

Auscher frequently publishes in journals such as arXiv (Cornell University), Calculus of Variations and Partial Differential Equations, Journal of Differential Equations, Mathematische Annalen, and SIAM Journal on Mathematical Analysis.

Coauthors working regularly with Auscher include Moritz Egert, Hedong Hou, Pierre Portal, Cyril Imbert, and Lukas Niebel.

In addition to journal articles, Auscher has contributed to book publications. A notable book, published by Birkhäuser in 2023, is titled "Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure."

Best Publications

  • The solution of the Kato square root problem for second order elliptic operators on Rn

    Pascal Auscher;Steve Hofmann;Michael Lacey;Alan McIntosh

  • On Necessary and Sufficient Conditions for LP-Estimates of Riesz Transforms Associated to Elliptic Operators on RN and Related Estimates

    Pascal Auscher

  • On necessary and sufficient conditions for $L^p$-estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates

    Unknown

  • Square root problem for divergence operators and related topics

    Pascal Auscher;Philippe Tchamitchian

  • Riesz transform on manifolds and heat kernel regularity

    Pascal Auscher;Thierry Coulhon;Xuan Thinh Duong;Steve Hofmann

  • Hardy Spaces of Differential Forms on Riemannian Manifolds

    Pascal Auscher;Alan McIntosh;Emmanuel Russ

  • Local sine and cosine bases of Coifman and Meyer and the construction of smooth wavelets

    Pascal Auscher;Guido Weiss;M. Victor Wickerhauser

  • Weighted norm inequalities, off-diagonal estimates and elliptic operators. Part I: General operator theory and weights

    Pascal Auscher;José María Martell

  • Maximal inequalities and Riesz transform estimates on $L^p$ spaces for Schrödinger operators with nonnegative potentials

    Pascal Auscher;Besma Ben Ali

  • The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $

    Pascal Auscher;Steve Hofmann;Alan McIntosh;Philippe Tchamitchian

  • Regularity Theorems and Heat Kernel for Elliptic Operators

    Pascal Auscher

  • Hardy spaces and divergence operators on strongly Lipschitz domains of Rn

    Pascal Auscher;Emmanuel Russ

  • Carleson measures, trees, extrapolation, and T(b) theorems

    Pascal Auscher;Steve Hofmann;Camil Muscalu;Terence Tao

  • Solution of two problems on wavelets

    Pascal Auscher

  • Extrapolation of Carleson measures and the analyticity of Kato's square-root operators

    Pascal Auscher;Steve Hofmann;John L. Lewis;Philippe Tchamitchian

  • Holomorphic functional calculi of operators, quadratic estimates and interpolation

    P. Auscher;A. McIntosh;A. Nahmod

  • Analyticity of layer potentials and $L^{2}$ solvability of boundary value problems for divergence form elliptic equations with complex $L^{\infty}$ coefficients

    M. Angeles Alfonseca;Pascal Auscher;Andreas Axelsson;Steve Hofmann

  • Orthonormal bases of regular wavelets in spaces of homogeneous type

    Pascal Auscher;Tuomas Hytönen

  • Solvability of elliptic systems with square integrable boundary data

    Pascal Auscher;Andreas Axelsson;Alan McIntosh

  • Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems

    Pascal Auscher;Andreas Axelsson;Steve Hofmann

  • On necessary and sufficient conditions for $L^p$-estimates of Riesz transforms associated to elliptic operators on $\RR^n$ and related estimates

    Pascal Auscher

  • Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I

    Pascal Auscher;Andreas Rosén

  • Heat Kernels and Analysis on Manifolds, Graphs, and Metric Spaces

    Pascal Auscher;Thierry Coulhon;Alexander Grigor’yan

Frequent Co-Authors

Alan McIntosh
Alan McIntosh Australian National University
Steve Hofmann
Steve Hofmann University of Missouri
José María Martell
José María Martell Institute of Mathematical Sciences
Tuomas Hytönen
Tuomas Hytönen Aalto University
Thierry Coulhon
Thierry Coulhon PSL University
Terence Tao
Terence Tao University of California, Los Angeles
Xuan Thinh Duong
Xuan Thinh Duong Macquarie University
Michael T. Lacey
Michael T. Lacey Georgia Institute of Technology
Guido Weiss
Guido Weiss Washington University in St. Louis

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