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010 a| 2022007966;

020 a| 9781470450434q| (paperback);

020 z| 9781470469153q| (epub);

035 a| (WaSeSS)ssj0002593492;

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084 a| 31B05a| 35J25a| 28A75a| 28A78a| 35J70a| 42B20a| 42B25a| 42B372| msc;

100 1 a| David, Guy,d| 1957-=| ^A279776;

245 10 a| Elliptic theory for sets with higher co-dimensional boundariesh| [electronic resource] /c| G. David, J. Feneuil, S. Mayboroda.;

260 a| Providence, Rhode Island :b| American Mathematical Society,c| [2021];

300 a| vi, 123 pages ;c| 26 cm.;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| number 1346;

500 a| "November 2021, volume 274.";

504 a| Includes bibliographical references.;

505 0 a| The Harnack chain condition and the doubling property -- Traces -- Poincaré inequalities -- Completeness and density of smooth functions -- The chain rule and applications -- The extension operator -- Definition of solutions -- Harmonic measure -- Green functions -- The comparison principle.;

506 a| Available only to authorized users.;

520 a| "Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension. The aim of this manuscript is to develop a version of elliptic theory, associated to a linear PDE, which ultimately yields a notion analogous to that of the harmonic measure, for sets of codimension higher than 1"--c| Provided by publisher.;

538 a| Mode of access: World Wide Web;

650 0 a| Differential equations, Elliptic.=| ^A48116;

650 0 a| Degenerate differential equations.=| ^A415764;

650 0 a| Harmonic functions.=| ^A44005;

650 0 a| Harmonic analysis.=| ^A25604;

650 0 a| Boundary value problems.=| ^A15919;

650 7 a| Potential theory -- Higher-dimensional theory -- Harmonic, subharmonic, superharmonic functions.2| msc;

650 7 a| Partial differential equations -- Elliptic equations and systems -- Boundary value problems for second-order elliptic equations.2| msc;

650 7 a| Measure and integration -- Classical measure theory -- Length, area, volume, other geometric measure theory.2| msc;

650 7 a| Measure and integration -- Classical measure theory -- Hausdorff and packing measures.2| msc;

650 7 a| Partial differential equations -- Elliptic equations and systems -- Degenerate elliptic equations.2| msc;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.).2| msc;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory.2| msc;

650 7 a| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE.2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Feneuil, J.,d| 1988-?| UNAUTHORIZED;

700 1 a| Mayboroda, Svitlana,d| 1981-?| UNAUTHORIZED;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6852911;

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999 a| CLICK ON WEB ADDRESSw| ASISc| 1i| 6512938-2001l| HSLELECm| HSLr| Ys| Yt| HEBKu| 1/14/2025x| EBOOKz| HERESOURCE;

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Elliptic theory for sets with higher co-dimensional boundaries / G. David, J. Feneuil, S. Mayboroda.

Author/creator	David, Guy, 1957-
Other author	Feneuil, J., 1988-
Other author	Mayboroda, Svitlana, 1981-
Format	Electronic
Publication Info	Providence, Rhode Island : American Mathematical Society, [2021]
Description	vi, 123 pages ; 26 cm.
Supplemental Content	Full text available from Ebook Central - Academic Complete
Subjects	Differential equations, Elliptic. Degenerate differential equations. Harmonic functions. Harmonic analysis. Boundary value problems.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1346
Contents	The Harnack chain condition and the doubling property -- Traces -- Poincaré inequalities -- Completeness and density of smooth functions -- The chain rule and applications -- The extension operator -- Definition of solutions -- Harmonic measure -- Green functions -- The comparison principle.
Abstract	"Many geometric and analytic properties of sets hinge on the properties of elliptic measure, notoriously missing for sets of higher co-dimension. The aim of this manuscript is to develop a version of elliptic theory, associated to a linear PDE, which ultimately yields a notion analogous to that of the harmonic measure, for sets of codimension higher than 1"-- Provided by publisher.
General note	"November 2021, volume 274."
Bibliography note	Includes bibliographical references.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2022007966
ISBN	9781470450434 (paperback)
ISBN	(epub)

Elliptic theory for sets with higher co-dimensional boundaries / G. David, J. Feneuil, S. Mayboroda.

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