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[null,"1.","Record Nr.",null,"UNINA9910960760203321"]
[null,null,"Autore",null,"David Guy"]
[null,null,"Titolo",null,"Elliptic Theory for Sets with Higher Co-Dimensional Boundaries"]
[null,null,"Pubbl/distr/stampa",null,"Providence : , : American Mathematical Society, , 2022"]
[{"$nulls":4},"©2021"]
[null,null,"ISBN",null,"9781470469153"]
[{"$nulls":4},"1470469154"]
[null,null,"Edizione",null,"[1st ed.]"]
[null,null,"Descrizione fisica",null,"1 online resource (136 pages)"]
[null,null,"Collana",null,"Memoirs of the American Mathematical Society ; ; v.274"]
[null,null,"Classificazione",null,"31B0535J2528A7528A7835J7042B2042B2542B37"]
[null,null,"Disciplina",null,"518/.64"]
[null,null,"Soggetti",null,"Differential equations, Elliptic"]
[{"$nulls":4},"Degenerate differential equations"]
[{"$nulls":4},"Harmonic functions"]
[{"$nulls":4},"Harmonic analysis"]
[{"$nulls":4},"Boundary value problems"]
[{"$nulls":4},"Potential theory -- Higher-dimensional theory -- Harmonic, subharmonic, superharmonic functions"]
[{"$nulls":4},"Partial differential equations -- Elliptic equations and systems -- Boundary value problems for second-order elliptic equations"]
[{"$nulls":4},"Measure and integration -- Classical measure theory -- Length, area, volume, other geometric measure theory"]
[{"$nulls":4},"Measure and integration -- Classical measure theory -- Hausdorff and packing measures"]
[{"$nulls":4},"Partial differential equations -- Elliptic equations and systems -- Degenerate elliptic equations"]
[{"$nulls":4},"Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.)"]
[{"$nulls":4},"Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory"]
[{"$nulls":4},"Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","\"November 2021, volume 274.\""]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"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."]
[null,null,null,"Sommario/riassunto","\"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\"--"]