Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
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| Autore: |
David Guy
|
| Titolo: |
Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
|
| Pubblicazione: | Providence : , : American Mathematical Society, , 2022 |
| ©2021 | |
| Edizione: | 1st ed. |
| Descrizione fisica: | 1 online resource (136 pages) |
| Disciplina: | 518/.64 |
| Soggetto topico: | Differential equations, Elliptic |
| Degenerate differential equations | |
| Harmonic functions | |
| Harmonic analysis | |
| Boundary value problems | |
| Potential theory -- Higher-dimensional theory -- Harmonic, subharmonic, superharmonic functions | |
| Partial differential equations -- Elliptic equations and systems -- Boundary value problems for second-order elliptic equations | |
| Measure and integration -- Classical measure theory -- Length, area, volume, other geometric measure theory | |
| Measure and integration -- Classical measure theory -- Hausdorff and packing measures | |
| Partial differential equations -- Elliptic equations and systems -- Degenerate elliptic equations | |
| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Singular and oscillatory integrals (Calderón-Zygmund, etc.) | |
| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Maximal functions, Littlewood-Paley theory | |
| Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE | |
| Classificazione: | 31B0535J2528A7528A7835J7042B2042B2542B37 |
| Altri autori: |
FeneuilJoseph
MayborodaSvitlana
|
| Note generali: | "November 2021, volume 274." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | 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. |
| 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"-- |
| Titolo autorizzato: | Elliptic Theory for Sets with Higher Co-Dimensional Boundaries |
| ISBN: | 9781470469153 |
| 1470469154 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910960760203321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society