Mihalis Mourgoglou

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. Regularity theory and Green's function for elliptic equations with lower order terms in unbounded domains
   2019/04/09 by Mihalis Mourgoglou, Mourgoglou, Mihalis · 2 citations
   Computer Science · Mathematics · #35A08 #35B50 #35B51 #35B65 #35J08 #35J15 #35J20 #35J25 #35J67 #35J86 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations
3. 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
4. Failure of L² boundedness of gradients of single layer potentials for measures with zero low density
   2018/01/25 by José M. Conde‐Alonso, Mihalis Mourgoglou, Conde-Alonso, José M. +3 · 1 citation
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
5. L²-boundedness of gradients of single layer potentials for elliptic operators with coefficients of Dini mean oscillation-type
   2021/12/14 by Alejandro Molero, Molero, Alejandro, Mihalis Mourgoglou +5 · 1 citation
   Computer Science · Mathematics · #28A75 #33C55 #35J15 #42B20 #42B37 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Partial Differential Equations #Numerical methods in inverse problems
6. Solvability of the Poisson-Dirichlet problem with interior data in L^p'-Carleson spaces and its applications to the L^p-regularity problem
   2022/07/21 by Mihalis Mourgoglou, Bruno Poggi, Mourgoglou, Mihalis +3 · 1 citation
   Mathematics · #31B20 #31B35 #35B30 #35J05 #35J15 #35J25 (Primary) 35J08 #42B25 #42B35 #42B37 (Secondary) #Advanced Harmonic Analysis Research #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #Differential Equations and Boundary Problems #FOS: Mathematics #Nonlinear Partial Differential Equations