Steve Hofmann

1. Harmonic measure and quantitative connectivity: geometric characterization of the L^p-solvability of the Dirichlet problem
   2020/07/20 by Jonas Azzam, Steve Hofmann, José María Martell +2 · 8 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Advanced Harmonic Analysis Research
2. Square function/non-tangential maximal function estimates and the\n dirichlet problem for non-symmetric elliptic operators
   2012/02/10 by Steve Hofmann, Hofmann, Steve, Carlos E. Kenig +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
3. Second order elliptic operators with complex bounded measurable\n coefficients in L^p, Sobolev and Hardy spaces
   2010/02/03 by Steve Hofmann, Svitlana Mayboroda, Hofmann, Steve +3 · 3 citations
   Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations
4. 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
5. A∞ implies NTA for a class of variable coefficient elliptic operators
   2017/08/23 by Steve Hofmann, José María Martell, Tatiana Toro · 4 citations
   Mathematics · Computer Science · #Advanced Harmonic Analysis Research #Numerical methods in inverse problems #Advanced Mathematical Modeling in Engineering
6. Riesz transform on manifolds and heat kernel regularity
   2004/11/17 by Pascal Auscher, Auscher, Pascal, Thierry Coulhon +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
7. 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
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. 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
10. 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, Hofmann, Steve, Svitlana Mayboroda +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
11. Regularity and Neumann problems for operators with real coefficients satisfying Carleson conditions
    2023/05/19 by Martin Dindoš, Steve Hofmann, Jill Pipher · 4 citations
    Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Differential Equations and Boundary Problems
12. 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
13. 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
14. 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