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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Wave Factorization of Elliptic Symbols: Theory and Applications
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Wave Factorization of Elliptic Symbols: Theory and Applications
V. Vasil'ev (Broschiert, Englisch)
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Beschreibung
To summarize briefly, this book is devoted to an exposition of the foundations of pseudo differential equations theory in non-smooth domains. The elements of such a theory already exist in the literature and can be found in such papers and monographs as [90,95,96,109,115,131,132,134,135,136,146, 163,165,169,170,182,184,214-218]. In this book, we will employ a theory that is based on quite… different principles than those used previously. However, precisely one of the standard principles is left without change, the "freezing of coefficients" principle. The first main difference in our exposition begins at the point when the "model problem" appears. Such a model problem for differential equations and differential boundary conditions was first studied in a fundamental paper of V. A. Kondrat'ev [134]. Here also the second main difference appears, in that we consider an already given boundary value problem. In some transformations this boundary value problem was reduced to a boundary value problem with a parameter . -\ in a domain with smooth boundary, followed by application of the earlier results of M. S. Agranovich and M. I. Vishik. In this context some operator-function R('-\) appears, and its poles prevent invertibility; iffor differential operators the function is a polynomial on A, then for pseudo differential operators this dependence on . -\ cannot be defined. Ongoing investigations of different model problems are being carried out with approximately this plan, both for differential and pseudodifferential boundary value problems. 53,49 €
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Technische Daten
Erscheinungsdatum
04.12.2010
Sprache
Englisch
EAN
9789048155453
Herausgeber
Springer Netherland
Sonderedition
Nein
Autor
V. Vasil'ev
Seitenanzahl
176
Einbandart
Broschiert
Buch Untertitel
Introduction to the Theory of Boundary Value Problems in Non-Smooth Domains
Schlagwörter
Boundary value problem, Distribution, Fourier transform, Operator theory, Potential, Singular integral, partial differential equation, partial differential equations
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBKF - Funktionalanalysis und Abwandlungen
PBK - Mathematische Analysis, allgemein
PBKL - Integralrechnung und -gleichungen
PHD - Klassische Mechanik
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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