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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis The Analysis of Solutions of Elliptic Equations
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The Analysis of Solutions of Elliptic Equations
Nikolai Tarkhanov (Broschiert, Englisch)
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Beschreibung
This book is intended as a continuation of my book "Parametrix Method in the Theory of Differential Complexes" (see [291]). There, we considered complexes of differential operators between sections of vector bundles and we strived more than for details. Although there are many applications to for maximal generality overdetermined systems, such an approach left me with a certain feeling of dissat-… faction, especially since a large number of interesting consequences can be obtained without a great effort. The present book is conceived as an attempt to shed some light on these new applications. We consider, as a rule, differential operators having a simple structure on open subsets of Rn. Currently, this area is not being investigated very actively, possibly because it is already very highly developed actively (cf. for example the book of Palamodov [213]). However, even in this (well studied) situation the general ideas from [291] allow us to obtain new results in the qualitative theory of differential equations and frequently in definitive form. The greater part of the material presented is related to applications of the L- rent series for a solution of a system of differential equations, which is a convenient way of writing the Green formula. The culminating application is an analog of the theorem of Vitushkin [303] for uniform and mean approximation by solutions of an elliptic system. Somewhat afield are several questions on ill-posedness, but the parametrix method enables us to obtain here a series of hitherto unknown facts. 106,99 €
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Technische Daten
Erscheinungsdatum
06.12.2010
Sprache
Englisch
EAN
9789048148455
Herausgeber
Springer Netherland
Serien- oder Bandtitel
Mathematics and Its Applications
Sonderedition
Nein
Autor
Nikolai Tarkhanov
Seitenanzahl
484
Einbandart
Broschiert
Schlagwörter
Cauchy problem, Potential theory, differential equation, differential operator, functional analysis, partial differential equation, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKD - Komplexe Analysis, komplexe Variablen, Funktionentheorie
PBK - Mathematische Analysis, allgemein
PBKF - Funktionalanalysis und Abwandlungen
Höhe
240 mm
Breite
16 cm
Transparenz & Sicherheit
Hersteller: Springer, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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