World's Best Scientists 2026 revealed!
David Jerison

David Jerison

D-Index & Metrics

Mathematics

D-Index
41
Citations
8817
World Ranking
1882
National Ranking
801

Research.com Recognitions

  • 2019 - Fellow of John Simon Guggenheim Memorial Foundation
  • 2013 - Fellow of the American Mathematical Society
  • 1999 - Fellow of the American Academy of Arts and Sciences
  • 1985 - Fellow of Alfred P. Sloan Foundation

Overview

David Jerison is affiliated with MIT in the United States. Their research spans several areas primarily within Mathematics and Computer Science.

The main fields of study in their work include:

  • Mathematics
  • Computer Science

The subfields covered by their publications are:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Atomic and Molecular Physics, and Optics
  • Electrical and Electronic Engineering
  • Materials Chemistry

The main topics investigated in their research include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Geometric Analysis and Curvature Flows
  • Semiconductor Quantum Structures and Devices
  • Advanced Semiconductor Detectors and Materials
  • Electronic and Structural Properties of Oxides
  • Numerical methods in inverse problems

Their recent publications include:

  • Inhomogeneous global minimizers to the one-phase free boundary problem, 2022, Communications in Partial Differential Equations
  • Filoche et al. Reply:, 2020, Physical Review Letters
  • The Friedland-Hayman inequality and Caffarelli's contraction theorem, 2021, Journal of Mathematical Physics
  • On nonminimizing solutions of elliptic free boundary problems, 2020, arXiv (Cornell University)
  • Two-phase Free Boundary Problems in Convex Domains, 2020, Journal of Geometric Analysis

Frequent coauthors in their work include:

  • Daniela De Silva
  • Thomas Beck
  • Henrik Shahgholian
  • Marcel Filoche
  • Douglas N. Arnold

The venues where their research has been published multiple times are:

  • arXiv (Cornell University)
  • Communications in Partial Differential Equations
  • Physical Review Letters
  • Journal of Mathematical Physics
  • Journal of Geometric Analysis

David Jerison has been recognized through several fellowships including:

  • Fellow of John Simon Guggenheim Memorial Foundation (2019)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (1999)
  • Fellow of Alfred P. Sloan Foundation (1985)

Best Publications

  • The Inhomogeneous Dirichlet Problem in Lipschitz Domains

    D. Jerison;C.E. Kenig

  • Boundary behavior of harmonic functions in non-tangentially accessible domains

    David S Jerison;Carlos E Kenig

  • The Poincaré inequality for vector fields satisfying Hörmander’s condition

    David Jerison

  • Unique continuation and absence of positive eigenvalues for Schrodinger operators

    David Jerison;Carlos E. Kenig;E. M. Stein

  • The Neumann problem on Lipschitz domains

    David S. Jerison;Carlos E. Kenig

  • Extremals for the Sobolev inequality on the Heisenberg group and the CR Yamabe problem

    David Jerison;John M. Lee

  • The Yamabe problem on CR manifolds

    Unknown

  • The Wiener test for degenerate elliptic equations

    E. B. Fabes;D. S. Jerison;C. E. Kenig

  • Intrinsic CR normal coordinates and the CR Yamabe problem

    David Jerison;John M. Lee

  • Subelliptic, second order differential operators

    David Jerison;Antonio Sánchez-Calle

  • The Dirichlet problem in non-smooth domains

    David S. Jerison;Carlos E. Kenig

  • A minkowski problem for electrostatic capacity

    David Jerison

  • Some new monotonicity theorems with applications to free boundary problems

    Luis A. Caffarelli;David Jerison;Carlos E. Kenig

  • Carleman inequalities for the Dirac and Laplace operators and unique continuation

    David Jerison

  • Necessary and sufficient conditions for absolute continuity of elliptic-harmonic measure

    Eugene Barry Fabes;David S. Jerison;Carlos E. Kenig

  • A singular energy minimizing free boundary

    Daniela De Silva;David Jerison

  • The Dirichlet problem for the Kohn Laplacian on the Heisenberg group, II

    Unknown

  • Global energy minimizers for free boundary problems and full regularity in three dimensions

    Unknown

  • The “hot spots” conjecture for domains with two axes of symmetry

    David Jerison;Nikolai Nadirashvili

  • Hardy spaces, $A_\infty$, and singular integrals on chord-arc domains

    David S. Jerison;Carlos E. Kenig

  • On the absence of positive eigenvalues of Schrödinger operators with rough potentials

    Alexandru D. Ionescu;David Jerison

  • Effective Confining Potential of Quantum States in Disordered Media

    Douglas N. Arnold;Guy David;David Jerison;Svitlana Mayboroda

  • Some remarks on stability of cones for the one-phase free boundary problem

    David Jerison;Ovidiu Savin

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Guy David
Guy David University of Paris-Saclay
Douglas N. Arnold
Douglas N. Arnold University of Minnesota
Eugene B. Fabes
Eugene B. Fabes University of Minnesota
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin

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