Svitlana Mayboroda

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All published works

Action	Title	Year	Authors
+ PDF	Transference of scale-invariant estimates from Lipschitz to nontangentially accessible to uniformly rectifiable domains	2024	Steve Hofmann José María Martell Svitlana Mayboroda
+ PDF Chat	Dimension and structure of the Robin Harmonic Measure on Rough Domains	2024	Guy David Stefano Decio Max Engelstein Svitlana Mayboroda Marco Michetti
+ PDF Chat	Anderson mobility edge as a percolation transition	2024	Marcel Filoche Pierre Pelletier Dominique Delande Svitlana Mayboroda
+	Non-local distance functions and geometric regularity	2024	Max Engelstein Cole Jeznach Svitlana Mayboroda
+	Critical Perturbations for Second Order Elliptic Operators—Part II: Non-tangential Maximal Function Estimates	2024	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+ PDF	Parametrix for wave equations on a rough background I: Regularity of the phase at initial time. II : Construction and control at initial time	2023	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF	Green functions and smooth distances	2023	Joseph Feneuil Linhan Li Svitlana Mayboroda
+	Small 𝐴_{∞} results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries	2023	Guy David Linhan Li Svitlana Mayboroda
+ PDF Chat	Elliptic theory in domains with boundaries of mixed dimension	2023	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF	The regularity problem in domains with lower dimensional boundaries	2023	Zanbing Dai Joseph Feneuil Svitlana Mayboroda
+	Critical Perturbations for Second Order Elliptic Operators. Part II: Non-tangential maximal function estimates	2023	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+ PDF	On an effective equation of the reduced Hartree-Fock theory	2023	Ilias Chenn Svitlana Mayboroda Wei Wang Shiwen Zhang
+	The landscape function on $\mathbb R^d$	2023	Guy David Antoine Gloria Svitlana Mayboroda
+	The Anderson mobility edge as a percolation transition	2023	Marcel Filoche Pierre Pelletier Dominique Delande Svitlana Mayboroda
+	Carleson perturbations for the regularity problem	2022	Zanbing Dai Joseph Feneuil Svitlana Mayboroda
+ PDF	Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions	2022	Guy David Svitlana Mayboroda
+ PDF Chat	Critical perturbations for second-order elliptic operators, I: Square function bounds for layer potentials	2022	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+ PDF Chat	The Landscape Law for Tight Binding Hamiltonians	2022	Douglas N. Arnold Marcel Filoche Svitlana Mayboroda Wei Wang Shiwen Zhang
+ PDF	Carleson estimates for the Green function on domains with lower dimensional boundaries	2022	Guy David Linhan Li Svitlana Mayboroda
+ PDF	Harmonic Measure Is Absolutely Continuous with Respect to the Hausdorff Measure on All Low-Dimensional Uniformly Rectifiable Sets	2022	Guy David Svitlana Mayboroda
+ PDF Chat	Wigner-Weyl description of light absorption in disordered semiconductor alloys using the localization landscape theory	2022	Jean-Philippe Banon Pierre Pelletier Claude Weisbuch Svitlana Mayboroda Marcel Filoche
+ PDF	Green function estimates on complements of low-dimensional uniformly rectifiable sets	2022	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF Chat	Spectral functions and localization-landscape theory in speckle potentials	2022	Pierre Pelletier Dominique Delande Vincent Josse Alain Aspect Svitlana Mayboroda Douglas N. Arnold Marcel Filoche
+ PDF Chat	Carleson Measure Estimates for the Green Function	2022	Guy David Linhan Li Svitlana Mayboroda
+ PDF Chat	$$L^p$$ theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part	2022	Steve Hofmann Linhan Li Svitlana Mayboroda Jill Pipher
+	Carleson Perturbations for the Regularity Problem	2022	Zanbing Dai Joseph Feneuil Svitlana Mayboroda
+	The Regularity problem in domains with lower dimensional boundaries	2022	Zanbing Dai Joseph Feneuil Svitlana Mayboroda
+	Non-local distance functions and geometric regularity	2022	Max Engelstein Cole Jeznach Svitlana Mayboroda
+	Green functions and smooth distances	2022	Joseph Feneuil Linhan Li Svitlana Mayboroda
+	Small $A_\infty$ results for Dahlberg-Kenig-Pipher operators in sets with uniformly rectifiable boundaries	2022	Guy David Linhan Li Svitlana Mayboroda
+ PDF Chat	Spectral functions and localization landscape theory in speckle potentials	2021	Pierre Pelletier Dominique Delande Vincent Josse Alain Aspect Svitlana Mayboroda Douglas Arnold Marcel Filoche
+	Elliptic Theory for Sets with Higher Co-dimensional Boundaries	2021	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF	The landscape law for the integrated density of states	2021	Guy David Marcel Filoche Svitlana Mayboroda
+ PDF	Sharp estimates for the integrated density of states in Anderson tight-binding models	2021	Perceval Desforges Svitlana Mayboroda Shiwen Zhang Guy David Douglas N. Arnold Wei Wang Marcel Filoche
+ PDF Chat	On a Novel Effective Equation of the Reduced Hartree-Fock Theory	2021	Ilias Chenn Svitlana Mayboroda Wei Wang Shiwen Zhang
+ PDF Chat	The Dirichlet problem for elliptic operators having a BMO anti-symmetric part	2021	Steve Hofmann Linhan Li Svitlana Mayboroda Jill Pipher
+ PDF	THE EFFECTIVE POTENTIAL OF AN M-MATRIX	2021	Marcel Filoche Svitlana Mayboroda Terence Tao
+ PDF	The effective potential of an <i>M</i>-matrix	2021	Marcel Filoche Svitlana Mayboroda Terence Tao
+ PDF Chat	Uniform Rectifiability and Elliptic Operators Satisfying a Carleson Measure Condition	2021	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+ PDF	Good elliptic operators on Cantor sets	2021	Guy David Svitlana Mayboroda
+ PDF	Carleson perturbations of elliptic operators on domains with low dimensional boundaries	2021	Svitlana Mayboroda Bruno Poggi
+	On a Novel Effective Equation of the Reduced Hartree-Fock Theory	2021	Ilias Chenn Svitlana Mayboroda Wei Wang Shiwen Zhang
+	Carleson estimates for the Green function on domains with lower dimensional boundaries	2021	Guy David Linhan Li Svitlana Mayboroda
+	Green function estimates on complements of low-dimensional uniformly rectifiable sets	2021	Guy David Joseph Feneuil Svitlana Mayboroda
+	The landscape law for tight binding Hamiltonians	2021	Douglas N. Arnold Marcel Filoche Svitlana Mayboroda Wei Wang Shiwen Zhang
+	Square functions, nontangential limits, and harmonic measure in codimension larger than 1	2020	Guy David Max Engelstein Svitlana Mayboroda
+ PDF Chat	The Dirichlet problem in domains with lower dimensional boundaries	2020	Joseph Feneuil Svitlana Mayboroda Zihui Zhao
+	Carleson perturbations of elliptic operators on domains with low dimensional boundaries	2020	Svitlana Mayboroda Bruno Poggi
+ PDF	GOOD ELLIPTIC OPERATORS ON CANTOR SETS	2020	Guy David Svitlana Mayboroda
+ PDF Chat	GOOD ELLIPTIC OPERATORS ON CANTOR SETS	2020	Guy David Svitlana Mayboroda
+	Critical Perturbations for Second Order Elliptic Operators. Part I: Square function bounds for layer potentials	2020	Simon Bortz Steve Hofmann José Luis Luna García Svitlana Mayboroda Bruno Poggi
+ PDF Chat	Nontangential Estimates on Layer Potentials and the Neumann Problem for Higher-Order Elliptic Equations	2020	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Uniform rectifiability and elliptic operators satisfying a Carleson measure condition	2020	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+	Approximation of Green functions and domains with uniformly rectifiable boundaries of all dimensions	2020	Guy David Svitlana Mayboroda
+	Carleson perturbations of elliptic operators on domains with low dimensional boundaries	2020	Svitlana Mayboroda Bruno Poggi
+	Good elliptic operators on Cantor sets	2020	Guy David Svitlana Mayboroda
+	The landscape law for the integrated density of states	2019	Guy David Marcel Filoche Svitlana Mayboroda
+ PDF	Universality of fold-encoded localized vibrations in enzymes	2019	Yann Chalopin Francesco Piazza Svitlana Mayboroda Claude Weisbuch Marcel Filoche
+ PDF Chat	Square function estimates, the BMO Dirichlet problem, and absolute continuity of harmonic measure on lower-dimensional sets	2019	Svitlana Mayboroda Zihui Zhao
+ PDF	Localization of eigenfunctions via an effective potential	2019	Douglas N. Arnold Guy David Marcel Filoche David Jerison Svitlana Mayboroda
+ PDF Chat	A New Elliptic Measure on Lower Dimensional Sets	2019	Guy David Joseph Feneuil Svitlana Mayboroda
+	THE EFFECT OF DISORDER AND IRREGULARITIES ON SOLUTIONS TO BOUNDARY VALUE PROBLEMS AND SPECTRA OF DIFFERENTIAL OPERATORS	2019	Svitlana Mayboroda
+ PDF Chat	Bounds on layer potentials with rough inputs for higher order elliptic equations	2019	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Universality of fold-encoded localized vibrations in enzymes	2019	Yann Chalopin Francesco Piazza Svitlana Mayboroda Claude Weisbuch Marcel Filoche
+	Exponential decay estimates for fundamental solutions of Schrödinger-type operators	2019	Svitlana Mayboroda Bruno Poggi
+ PDF	Dahlberg's theorem in higher co-dimension	2019	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF	Computing Spectra without Solving Eigenvalue Problems	2019	Douglas N. Arnold Guy David Marcel Filoche David Jerison Svitlana Mayboroda
+	Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part II: The large constant case	2019	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+ PDF	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2019	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The landscape law for the integrated density of states	2019	Guy David Marcel Filoche Svitlana Mayboroda
+	Transference of scale-invariant estimates from Lipschitz to Non-tangentially accessible to Uniformly rectifiable domains	2019	Steve Hofmann José María Martell Svitlana Mayboroda
+	Universality of fold-encoded localized vibrations in enzymes	2019	Yann Chalopin Francesco Piazza Svitlana Mayboroda Claude Weisbuch Marcel Filoche
+	A Free Boundary Problem for the Localization of Eigenfunctions	2018	Guy David Marcel Filoche David Jerison Svitlana Mayboroda
+	Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one	2018	Guy David Max Engelstein Svitlana Mayboroda
+	Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations	2018	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	A new elliptic measure on lower dimensional sets	2018	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF	Fundamental matrices and Green matrices for non-homogeneous elliptic systems	2018	Blair Davey Jonathan M. D. Hill Svitlana Mayboroda
+	Exponential decay estimates for fundamental solutions of Schr\"odinger-type operators	2018	Svitlana Mayboroda Bruno Poggi
+	Dirichlet problem in domains with lower dimensional boundaries	2018	Joseph Feneuil Svitlana Mayboroda Zihui Zhao
+	Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one	2018	Guy David Max Engelstein Svitlana Mayboroda
+	Nontangential estimates on layer potentials and the Neumann problem for higher order elliptic equations	2018	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	A new elliptic measure on lower dimensional sets	2018	Guy David Joseph Feneuil Svitlana Mayboroda
+	Exponential decay estimates for fundamental solutions of Schrödinger-type operators	2018	Svitlana Mayboroda Bruno Poggi
+	Computing spectra without solving eigenvalue problems	2017	Douglas N. Arnold Guy David Marcel Filoche David Jerison Svitlana Mayboroda
+ PDF Chat	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+ PDF Chat	Polyharmonic capacity and Wiener test of higher order	2017	Svitlana Mayboroda Vladimir Maz′ya
+ PDF	Localization landscape theory of disorder in semiconductors. III. Application to carrier transport and recombination in light emitting diodes	2017	Chi-Kang Li Marco Piccardo Li-Shuo Lu Svitlana Mayboroda Lucio Martinelli Jacques Peretti James S. Speck Claude Weisbuch Marcel Filoche Yuh‐Renn Wu
+ PDF	Localization landscape theory of disorder in semiconductors. I. Theory and modeling	2017	Marcel Filoche Marco Piccardo Yuh‐Renn Wu Chi-Kang Li Claude Weisbuch Svitlana Mayboroda
+ PDF	Dahlberg's theorem in higher co-dimension.	2017	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF Chat	Square function estimates on layer potentials for higher‐order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Harmonic measure on sets of codimension larger than one	2017	Guy David Joseph Feneuil Svitlana Mayboroda
+	Localizations of Eigenfunctions	2017	Svitlana Mayboroda
+	Dirichlet and Neumann boundary values of solutions to higher order elliptic equations	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	The Neumann problem for higher order elliptic equations with symmetric coefficients	2017	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Computing spectra without solving eigenvalue problems	2017	Douglas Arnold Guy David Marcel Filoche David Jerison Svitlana Mayboroda
+	Dahlberg's theorem in higher co-dimension	2017	Guy David Joseph Feneuil Svitlana Mayboroda
+	Uniform rectifiability and elliptic operators satisfying a Carleson measure condition. Part I: The small constant case	2017	Steve Hofmann José María Martell Svitlana Mayboroda Tatiana Toro Zihui Zhao
+	Fundamental matrices and Green matrices for non-homogeneous elliptic systems	2016	Blair Davey Jonathan M. D. Hill Svitlana Mayboroda
+ PDF	One Single Static Measurement Predicts Wave Localization in Complex Structures	2016	Gautier Lefebvre Alexane Gondel Marc Dubois Michaël Atlan Florian Feppon Aimé Labbé C. Gillot Alix Garelli Maxence Ernoult Svitlana Mayboroda
+	Harmonic measure on sets of codimension larger than one	2016	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF Chat	Uniform rectifiability, Carleson measure estimates, and approximation of harmonic functions	2016	Steve Hofmann José María Martell Svitlana Mayboroda
+ PDF Chat	Rectifiability of harmonic measure	2016	Jonas Azzam Steve Hofmann José María Martell Svitlana Mayboroda Mihalis Mourgoglou Xavier Tolsa Alexander Volberg
+ PDF	Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces	2016	Ariel Barton Svitlana Mayboroda
+ PDF	Harmonic measure is rectifiable if it is absolutely continuous with respect to the co-dimension-one Hausdorff measure	2016	Jonas Azzam Steve Hofmann José María Martell Svitlana Mayboroda Mihalis Mourgoglou Xavier Tolsa Alexander Volberg
+ PDF	Effective Confining Potential of Quantum States in Disordered Media	2016	Douglas N. Arnold Guy David David Jerison Svitlana Mayboroda Marcel Filoche
+	Higher-Order Elliptic Equations in Non-Smooth Domains: a Partial Survey	2016	Ariel Barton Svitlana Mayboroda
+	Fundamental matrices and Green matrices for non-homogeneous elliptic systems	2016	Blair Davey Jonathan Hill Svitlana Mayboroda
+	Harmonic measure on sets of codimension larger than one	2016	Guy David Joseph Feneuil Svitlana Mayboroda
+ PDF Chat	Maximal function characterizations of Hardy spaces associated to homogeneous higher order elliptic operators	2015	Jun Cao Svitlana Mayboroda Dachun Yang
+	Higher-order elliptic equations in non-smooth domains: history and recent results	2015	Ariel Barton Svitlana Mayboroda
+	Square function estimates on layer potentials for higher-order elliptic equations	2015	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation	2015	Svitlana Mayboroda Vladimir Maz’ya
+	Local Hardy spaces associated with inhomogeneous higher order elliptic operators	2015	Jun Cao Svitlana Mayboroda Dachun Yang
+	Absolute continuity between the surface measure and harmonic measure implies rectifiability	2015	Steve Hofmann José María Martell Svitlana Mayboroda Xavier Tolsa Alexander Volberg
+	The effective confining potential of quantum states in disordered media	2015	Douglas N. Arnold Guy David David Jerison Svitlana Mayboroda Marcel Filoche
+	Maximal Function Characterizations of Hardy Spaces Associated to Homogeneous Higher Order Elliptic Operators	2015	Jun Cao Svitlana Mayboroda Dachun Yang
+	Higher-order elliptic equations in non-smooth domains: history and recent results	2015	Ariel Barton Svitlana Mayboroda
+	Absolute continuity between the surface measure and harmonic measure implies rectifiability	2015	Steve Hofmann José María Martell Svitlana Mayboroda Xavier Tolsa Alexander Volberg
+	Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation	2015	Svitlana Mayboroda Vladimir Maz’ya
+	Square function estimates on layer potentials for higher-order elliptic equations	2015	Ariel Barton Steve Hofmann Svitlana Mayboroda
+	Layer potentials and boundary value problems for elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msup></mml:math> coefficients satisfying the small Carleson measure norm condition	2014	Steve Hofmann Svitlana Mayboroda Mihalis Mourgoglou
+	Polyharmonic capacity and Wiener test of higher order	2014	Svitlana Mayboroda Vladimir Maz’ya
+ PDF Chat	The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	Dual hidden landscapes in Anderson localization on discrete lattices	2014	M. L. Lyra Svitlana Mayboroda Marcel Filoche
+	Polyharmonic capacity and Wiener test of higher order	2014	Svitlana Mayboroda Vladimir Maz’ya
+	Boundary-value Problems for Higher-order Elliptic Equations in Non-smooth Domains	2013	Ariel Barton Svitlana Mayboroda
+	Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces	2013	Ariel Barton Svitlana Mayboroda
+	The Dirichlet problem for higher order equations in composition form	2013	Ariel Barton Svitlana Mayboroda
+ PDF Chat	Regularity of solutions to the polyharmonic equation in general domains	2013	Svitlana Mayboroda Vladimir Maz′ya
+ PDF Chat	Uniform Rectifiability and Harmonic Measure III: Riesz Transform Bounds Imply Uniform Rectifiability of Boundaries of 1-sided NTA Domains	2013	Steve Hofmann José María Martell Svitlana Mayboroda
+	The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2013	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	The Dirichlet problem for higher order equations in composition form	2013	Ariel Barton Svitlana Mayboroda
+	Layer potentials and boundary value problems for elliptic equations with complex $L^{\infty}$ coefficients satisfying the small Carleson measure norm condition	2013	Steve Hofmann Svitlana Mayboroda Mihalis Mourgoglou
+	The Landscape of Anderson Localization in a Disordered Medium	2013	Marcel Filoche Svitlana Mayboroda
+	The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients	2013	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	The Dirichlet problem for higher order equations in composition form	2013	Ariel Barton Svitlana Mayboroda
+	Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces	2013	Ariel Barton Svitlana Mayboroda
+	Regularity of solutions to the polyharmonic equation in general domains	2012	Svitlana Mayboroda Vladimir Maz′ya
+	Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators	2012	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	Localization of eigenfunctions of a one-dimensional elliptic operator	2012	Marcel Filoche Svitlana Mayboroda Brandon Patterson
+	Square function/non-tangential maximal function estimates and the dirichlet problem for non-symmetric elliptic operators	2012	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher
+	Regularity of solutions to the polyharmonic equation in general domains	2012	Svitlana Mayboroda Vladimir Maz’ya
+	The Hidden Landscape of Localization	2011	Marcel Filoche Svitlana Mayboroda
+ PDF	Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces	2011	Steve Hofmann Svitlana Mayboroda Alan McIntosh
+	The connections between Dirichlet, regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients	2010	Svitlana Mayboroda
+	Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces	2010	Steve Hofmann Svitlana Mayboroda Alan McIntosh
+	Second order elliptic operators with complex bounded measurable coefficients in $L^p$, Sobolev and Hardy spaces	2010	Steve Hofmann Svitlana Mayboroda Alan McIntosh
+ PDF	Finite square function implies integer dimension	2009	Svitlana Mayboroda Alexander Volberg
+ PDF	Boundedness of the square function and rectifiability	2009	Svitlana Mayboroda Alexander Volberg
+	Square function and Riesz transform in non-integer dimensions	2009	Svitlana Mayboroda Alexander Volberg
+	Correction to ``Hardy and BMO spaces associated to divergence form elliptic operators"	2009	Steve Hofmann Svitlana Mayboroda
+ PDF Chat	Pointwise Estimates for the Polyharmonic Green Function in General Domains	2009	Svitlana Mayboroda Vladimir Maz’ya
+	Pointwise estimates for the polyharmonic Green function in general domains	2009	Svitlana Mayboroda Vladimir Maz’ya
+ PDF Chat	Hardy and BMO spaces associated to divergence form elliptic operators	2008	Steve Hofmann Svitlana Mayboroda
+ PDF Chat	Boundedness of the gradient of a solution and Wiener test of order one for the biharmonic equation	2008	Svitlana Mayboroda Vladimir Maz′ya
+ PDF Chat	Boundedness of the Hessian of a Biharmonic Function in a Convex Domain	2008	Svitlana Mayboroda Vladimir Maz′ya
+ PDF	Interpolation of Hardy-Sobolev-Besov-Triebel-Lizorkin spaces and applications to problems in partial differential equations	2007	N. J. Kalton Svitlana Mayboroda Marius Mitrea
+	The Poisson Problem for the Lamé System on Low-dimensional Lipschitz Domains	2006	Svitlana Mayboroda Marius Mitrea
+	Boundedness of the Hessian of a biharmonic function in a convex domain	2006	Svitlana Mayboroda Vladimir Maz’ya
+	Hardy and BMO spaces associated to divergence form elliptic operators	2006	Steve Hofmann Svitlana Mayboroda
+ PDF	The poisson problem on Lipschitz domains	2005	Svitlana Mayboroda
+ PDF	Sharp estimates for Green potentials on non-smooth domains	2004	Svitlana Mayboroda Marius Mitrea
+ PDF	Square-function estimates for singular integrals and applications to partial differential equations	2004	Svitlana Mayboroda Marius Mitrea

Common Coauthors

Coauthor	Papers Together
Steve Hofmann	43
Guy David	31
Marcel Filoche	30
Ariel Barton	23
Joseph Feneuil	22
Vladimir Maz′ya	13
José María Martell	12
Guy David	11
Bruno Poggi	10
Douglas N. Arnold	9
Jill Pipher	8
David Jerison	7
Zihui Zhao	7
Alexander Volberg	7
Carlos E. Kenig	6
Claude Weisbuch	6
Shiwen Zhang	6
Max Engelstein	6
Linhan Li	5
Xavier Tolsa	4
Dominique Delande	4
Mihalis Mourgoglou	4
Simon Bortz	4
José Luis Luna García	4
Marius Mitrea	4
Linhan Li	4
Zanbing Dai	4
Pierre Pelletier	4
Tatiana Toro	4
Ilias Chenn	3
Alan McIntosh	3
Yann Chalopin	3
Dachun Yang	3
Jun Cao	3
Francesco Piazza	3
Wei Wang	3
Blair Davey	3
Terence Tao	2
Alain Aspect	2
Yuh‐Renn Wu	2
Jonas Azzam	2
Marco Piccardo	2
Cole Jeznach	2
Vincent Josse	2
Wei Wang	2
Douglas Arnold	2
Jonathan M. D. Hill	2
Chi-Kang Li	2
Steve Hofmann	2
Pierre Pelletier	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems	1994	Carlos E. Kenig	40
+	A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations	2000	Carlos E. Kenig Herbert Koch Jill Pipher Tatiana Toro	30
+	Analyticity of layer potentials and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mn>2</mml:mn></mml:msup></mml:math> solvability of boundary value problems for divergence form elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mo>∞</mml:mo></mml:msup></mml:math> coefficients	2010	M. Angeles Alfonseca Pascal Auscher Andreas Axelsson Steve Hofmann Seick Kim	26
+	The Solution of the Kato Square Root Problem for Second Order Elliptic Operators on \Bbb R n	2002	Pascal Auscher Steve Hofmann Michael T. Lacey Alan McIntosh Ph. Tchamitchian	25
+ PDF	The Dirichlet problem for elliptic equations with drift terms	2001	Carlos E. Kenig Jill Pipher	25
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	24
+ PDF	Weighted maximal regularity estimates and solvability of non-smooth elliptic systems I	2010	Pascal Auscher Andreas Axelsson	23
+	Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators	2014	Steve Hofmann Carlos E. Kenig Svitlana Mayboroda Jill Pipher	23
+	Estimates of harmonic measure	1977	Björn E. J. Dahlberg	23
+ PDF	Solvability of elliptic systems with square integrable boundary data	2009	Pascal Auscher Andreas Axelsson Alan McIntosh	22
+	The Theory of Weights and the Dirichlet Problem for Elliptic Equations	1991	Robert Fefferman Carlos E. Kenig Jill Pipher	22
+ PDF	Square root problem for divergence operators and related topics	2018	Pascal Auscher Philippe Tchamitchian	22
+ PDF	Hp spaces of several variables	1972	Charles Fefferman E. M. Stein	22
+	The neumann problem for elliptic equations with non-smooth coefficients	1993	Carlos E. Kenig Jill Pipher	22
+ PDF Chat	Uniform rectifiability and harmonic measure I: Uniform rectifiability implies Poisson kernels in $L^p$ ,	2014	Steve Hofmann José María Martell	21
+	Functional calculus of Dirac operators and complex perturbations of Neumann and Dirichlet problems	2008	Pascal Auscher Andreas Axelsson Steve Hofmann	20
+ PDF Chat	Harmonic measure and quantitative connectivity: geometric characterization of the $$L^p$$-solvability of the Dirichlet problem	2020	Jonas Azzam Steve Hofmann José María Martell Mihalis Mourgoglou Xavier Tolsa	18
+	Some new function spaces and their applications to Harmonic analysis	1985	Ronald R. Coifman Yves Meyer E. M. Stein	18
+	Dilation Invariant Estimates and the Boundary Garding Inequality for Higher Order Elliptic Operators	1995	Jill Pipher Gregory C. Verchota	17
+ PDF	Layer potentials beyond singular integral operators	2013	Alon Rosen	17
+ PDF	On the uniform rectifiability of AD-regular measures with bounded Riesz transform operator: the case of codimension 1	2014	Fëdor Nazarov Alexander Volberg Xavier Tolsa	17
+	The Dirichlet Problem in L p for the Biharmonic Equation on Lipschitz Domains	1992	Jill Pipher Gregory C. Verchota	17
+	Harmonic Measure and Arclength	1990	Christopher J. Bishop Peter W. Jones	17
+ PDF	The Wiener test for degenerate elliptic equations	1982	Eugene B. Fabes David Jerison Carlos E. Kenig	16
+ PDF	Area integral estimates for higher order elliptic equations and systems	1997	Björn E. J. Dahlberg Carlos E. Kenig Jill Pipher Gregory C. Verchota	16
+ PDF	A T(b) theorem with remarks on analytic capacity and the Cauchy integral	1990	Michael Christ	16
+ PDF	Elliptic Partial Differential Equations of Second Order	2001	David Gilbarg Neil S. Trudinger	16
+	Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains	1984	Gregory C. Verchota	16
+	Layer potentials and boundary value problems for elliptic equations with complex <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mo>∞</mml:mo></mml:mrow></mml:msup></mml:math> coefficients satisfying the small Carleson measure norm condition	2014	Steve Hofmann Svitlana Mayboroda Mihalis Mourgoglou	16
+	Equivalence between Regularity Theorems and Heat Kernel Estimates for Higher Order Elliptic Operators and Systems under Divergence Form	2000	Pascal Auscher Mahmoud Qafsaoui	16
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy	16
+	The Dirichlet Problem in Non-Smooth Domains	1981	David Jerison Carlos E. Kenig	16
+ PDF	Dahlberg's theorem in higher co-dimension	2019	Guy David Joseph Feneuil Svitlana Mayboroda	16
+ PDF	The <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>L</mml:mi><mml:mi>p</mml:mi></mml:msup></mml:math> Dirichlet problem for second order elliptic operators and a p-adapted square function	2007	Martin Dindoš Stefanie Petermichl Jill Pipher	15
+ PDF Chat	The Green function estimates for strongly elliptic systems of second order	2007	Steve Hofmann Seick Kim	15
+ PDF	The Dirichlet problem for the biharmonic equation in a Lipschitz domain	1986	Björn E. J. Dahlberg Carlos E. Kenig Gregory C. Verchota	15
+	Boundary behavior of harmonic functions in non-tangentially accessible domains	1982	David Jerison Carlos E. Kenig	15
+	An irregular complex valued solution to a scalar uniformly elliptic equation	2008	Jens Frehse	14
+	On the Absolute Continuity of Elliptic Measures	1986	Björn E. J. Dahlberg	14
+	The connections between Dirichlet, regularity and Neumann problems for second order elliptic operators with complex bounded measurable coefficients	2010	Svitlana Mayboroda	14
+	The Green function for uniformly elliptic equations	1982	Michael Grüter Kjell‐Ove Widman	14
+ PDF	The regularity and Neumann problem for non-symmetric elliptic operators	2008	Carlos E. Kenig David Rule	14
+	Elliptic Theory for Sets with Higher Co-dimensional Boundaries	2021	Guy David Joseph Feneuil Svitlana Mayboroda	14
+ PDF	Layer Potentials and Boundary-Value Problems for Second Order Elliptic Operators with Data in Besov Spaces	2016	Ariel Barton Svitlana Mayboroda	14
+	Boundary Layers on Sobolev–Besov Spaces and Poisson's Equation for the Laplacian in Lipschitz Domains	1998	Eugene B. Fabes Osvaldo Méndez Marius Mitrea	13
+	The Kato square root problem for higher order elliptic operators and systems on $ \Bbb R^n $	2001	Pascal Auscher Steve Hofmann Alan McIntosh Philippe Tchamitchian	13
+ PDF	Sharp estimates for Green potentials on non-smooth domains	2004	Svitlana Mayboroda Marius Mitrea	13
+ PDF	Effective Confining Potential of Quantum States in Disordered Media	2016	Douglas N. Arnold Guy David David Jerison Svitlana Mayboroda Marcel Filoche	13
+	The Neumann problem for elliptic equations with nonsmooth coefficients: Part II	1995	Carlos E. Kenig Jill Pipher	12
+ PDF	Area integral estimates for elliptic differential operators with non-smooth coefficients	1984	Björn E. J. Dahlberg David Jerison Carlos E. Kenig	12