Projects per year

## Fingerprint The Fingerprint is created by mining the titles and abstracts of the person's research outputs and projects/funding awards to create an index of weighted terms from discipline-specific thesauri.

- 3 Similar Profiles

Elliptic Operator
Mathematics

Square Functions
Mathematics

Higher order equation
Mathematics

Harmonic Measure
Mathematics

Layer Potentials
Mathematics

Coefficient
Mathematics

Elliptic Equations
Mathematics

Hausdorff Measure
Mathematics

##
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.

## Projects 2011 2022

## RAISE-TAQS: The hidden structure of the disorder in quantum systems

9/15/18 → 8/31/22

Project: Research project

## Inspire Track I" Localization: analysis, control, and d

2/15/14 → 1/31/20

Project: Research project

Geometric Measure Theory

Harmonic Analysis

Partial differential equation

Term

Harmonic Analysis

Partial differential equation

## Research Output 2004 2019

## A New Elliptic Measure on Lower Dimensional Sets

David, G., Feneuil, J. & Mayboroda, S., Jun 1 2019, In : Acta Mathematica Sinica, English Series. 35, 6, p. 876-902 27 p.Research output: Contribution to journal › Article

Geometric Measure Theory

Degenerate Elliptic Operators

Absolute Continuity

Scale Invariant

Codimension

## Bounds on layer potentials with rough inputs for higher order elliptic equations

Barton, A., Hofmann, S. & Mayboroda, S., Sep 1 2019, In : Proceedings of the London Mathematical Society. 119, 3, p. 613-653 41 p.Research output: Contribution to journal › Article

Layer Potentials

Double Layer Potential

Single Layer Potential

Square Functions

Higher order equation

2
Citations
(Scopus)

## Computing spectra without solving eigenvalue problems

Arnold, D. N., David, G., Filoche, M., Jerison, D. & Mayboroda, S., Jan 1 2019, In : SIAM Journal on Scientific Computing. 41, 1, p. B69-B92Research output: Contribution to journal › Article

Eigenvalues and eigenfunctions

Eigenvalue Problem

Eigenfunctions

Computing

Eigenvalue

1
Citation
(Scopus)

## Dahlberg's theorem in higher co-dimension

David, G., Feneuil, J. S. & Mayboroda, S., May 1 2019, In : Journal of Functional Analysis. 276, 9, p. 2731-2820 90 p.Research output: Contribution to journal › Article

Hausdorff Measure

Codimension

Lipschitz

Harmonic Measure

Absolutely Continuous

## Localization of eigenfunctions via an effective potential

Arnold, D. N., David, G., Filoche, M., Jerison, D. & Mayboroda, S., Jan 1 2019, In : Communications in Partial Differential Equations. 44, 11, p. 1186-1216 31 p.Research output: Contribution to journal › Article

Effective Potential

Eigenvalues and eigenfunctions

Eigenfunctions

Lipschitz Domains

Explicit Bounds