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Hofmann, Steve

  1. Square function/non-tangential maximal function estimates and the\n dirichlet problem for non-symmetric elliptic operators
    2012/02/10 by Steve Hofmann, Carlos E. Kenig, Hofmann, Steve +5 · 4 citations
    Computer Science · Mathematics · #35J25 #42B20 #42B25 #42B99 #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Numerical methods in inverse problems
  2. Second order elliptic operators with complex bounded measurable\n coefficients in Lp, Sobolev and Hardy spaces
    2010/02/03 by Steve Hofmann, Hofmann, Steve, Svitlana Mayboroda +3 · 3 citations
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations
  3. The Regularity problem for second order elliptic operators with\n complex-valued bounded measurable coefficients
    2013/01/22 by Steve Hofmann, Carlos E. Kenig, Hofmann, Steve +5 · 3 citations
    Computer Science · Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics
  4. Riesz transform on manifolds and heat kernel regularity
    2004/11/17 by Pascal Auscher, Thierry Coulhon, Auscher, Pascal +5 · 2 citations
    Mathematics · #42B20 #58J35 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Geometry (math.DG) #FOS: Mathematics #math.AP #math.CA #math.DG #msc:42B20 #msc:58J35
  5. Uniform rectifiability and elliptic operators satisfying a Carleson measure condition
    2020/08/11 by Steve Hofmann, Hofmann, Steve, José María Martell +7 · 3 citations
    Mathematics · #31B35 #35J25 #42B37 #Advanced Harmonic Analysis Research #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Holomorphic and Operator Theory
  6. BMO solvability and absolute continuity of harmonic measure
    2016/07/01 by Hofmann, Steve, Le, Phi · 2 citations
    #35J08 #42B25 #42B37 #Analysis of PDEs (math.AP) #FOS: Mathematics
  7. Corona Decompositions for Parabolic Uniformly Rectifiable Sets
    2021/03/23 by Bortz, Simon, Hoffman, John, Hofmann, Steve +2 · 3 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics #Metric Geometry (math.MG)
  8. Carleson measures, trees, extrapolation, and T(b) theorems
    2001/08/21 by Pascal Auscher, Auscher, Pascal, Steve Hofmann +7 · 1 citation
    Mathematics · #42B20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:42B20
  9. A Weak Reverse Holder Inequality for Caloric Measure
    2018/09/27 by Genschaw, Alyssa, Hofmann, Steve · 2 citations
    #Analysis of PDEs (math.AP) #FOS: Mathematics
  10. Functional calculus of Dirac operators and complex perturbations of\n Neumann and Dirichlet problems
    2007/05/02 by Pascal Auscher, Andreas Axelsson, Auscher, Pascal +3 · 1 citation
    Computer Science · Mathematics · #35J25 #35J55 #47N20 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics
  11. Layer potentials and boundary value problems for elliptic equations with complex L∞ coefficients satisfying the small Carleson measure norm condition
    2013/11/01 by Steve Hofmann, Svitlana Mayboroda, Hofmann, Steve +3 · 1 citation
    Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations
  12. Square function estimates on layer potentials for higher-order elliptic\n equations
    2015/08/20 by Ariel Barton, Steve Hofmann, Barton, Ariel +3 · 1 citation
    Computer Science · Mathematics · #31B10 #35C15 (Secondary) #35J30 (Primary) #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics
  13. Dirichlet and Neumann boundary values of solutions to higher order elliptic equations
    2017/03/20 by Barton, Ariel, Hofmann, Steve, Mayboroda, Svitlana · 1 citation
    #31B10 (Secondary) #35J30 #35J67 (Primary) #Analysis of PDEs (math.AP) #FOS: Mathematics
  14. Regularity and Neumann problems for operators with real coefficients satisfying Carleson condition
    2022/07/21 by Martin Dindoš, Steve Hofmann, Dindoš, Martin +3 · 2 citations
    Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems
  15. The Dirichlet Problem for elliptic equations with singular drift terms
    2025/02/05 by Steve Hofmann, Hofmann, Steve · 2 citations
    Computer Science · Mathematics · #35J15 #35J25 #42B37 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #Differential Equations and Numerical Methods #FOS: Mathematics
  16. Coronizations and big pieces in metric spaces
    2020/08/26 by Simon Bortz, John P. Hoffman, Bortz, Simon +7 · 1 citation
    Mathematics · Computer Science · #Advanced Topology and Set Theory #Mathematical Dynamics and Fractals #Topological and Geometric Data Analysis
  17. Parabolic Singular Integrals with Nonhomogeneous Kernels
    2021/03/23 by Bortz, Simon, Hoffman, John, Hofmann, Steve +2 · 1 citation
    #28A75 #42B20 #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics