Mihalis Mourgoglou

activity

20102026

most citedRectifiability of harmonic measure

61 citations · 237 across the 33 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.AP2013★ 4 cited

Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty}$ coefficients satisfying the small Carleson measure norm condition

Steve Hofmann, Svitlana Mayboroda, Mihalis Mourgoglou

We consider divergence form elliptic equations $Lu := \nabla \cdot (A \nabla u) = 0$ in the half space $R_{+}^{n + 1} := {(x, t) \in R^{n} \times (0, \infty)}$ , whose coefficient…

math.CA2013★ 11 cited

Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems

Pascal Auscher, Mihalis Mourgoglou

The purpose of this article is to study extrapolation of solvability for boundary value problems of elliptic systems in divergence form on the upper half-space assuming De Giorgi t…

math.CA2013

Square functions with general measures II

Henri Martikainen, Mihalis Mourgoglou, Tuomas Orponen

We continue developing the theory of conical and vertical square functions on $R^{n}$ , where $μ$ is a power bounded measure, possibly non-doubling. We provide new boundedness crite…

Layer potentials and boundary value problems for elliptic equations with complex L∞ coefficients satisfying the small Carleson measure norm condition

Boundary layers, Rellich estimates and extrapolation of solvability for elliptic systems

Square functions with general measures II

Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty}$ coefficients satisfying the small Carleson measure norm condition