Svitlana Mayboroda

20042022
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  • 2 Similar Profiles
Elliptic Operator Mathematics
Square Functions Mathematics
Harmonic Measure Mathematics
Layer Potentials Mathematics
Higher order equation Mathematics
Hausdorff Measure Mathematics
Coefficient Mathematics
Dirichlet Problem Mathematics

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Projects 2011 2022

Geometric Measure Theory
Harmonic Analysis
Partial differential equation
Term
Harmonic Analysis
Partial differential equation

Research Output 2004 2019

  • 42 Article
  • 1 Conference contribution
  • 1 Comment/debate

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 journalArticle

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 journalArticle

Layer Potentials
Double Layer Potential
Single Layer Potential
Square Functions
Higher order equation
1 Citation (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-B92

Research output: Contribution to journalArticle

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 journalArticle

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 journalArticle

Effective Potential
Eigenvalues and eigenfunctions
Eigenfunctions
Lipschitz Domains
Explicit Bounds