Distributions, Sobolev spaces, elliptic equations
By: Dorothee D. Haroske and Hans Triebel.
Contributors: Triebel, Hans.
Series: EMS textbooks in mathematics
Publisher: European Mathematical Society
Published: 2007
Place of publication: Zürich, Switzerland
Language: eng
Number of pages: 294
ISBN-13: 9783037190425
Subjects: Theory of distributions (Functional analysis); Sobolev spaces; Elliptic operators; Distributions, Théorie des (Analyse fonctionnelle); Sobolev, Espaces de; Opérateurs elliptiques
Description: "It is the main aim of this book to develop at an accessible, moderate level an L[subscript 2] theory for elliptic differential operators of second order on bounded smooth domains in Euclidean n-space, including a priori estimates for boundary-value problems in terms of (fractional) Sobolev spaces on domains and on their boundaries, together with a related spectral theory." "The presentation is preceded by an introduction to the classical theory for the Laplace-Poisson equation, and some chapters providing required ingredients such as the theory of distributions, Sobolev spaces and the spectral theory in Hilbert spaces."--Jacket.
Notes: Includes bibliographical references (p. [275]-282) and indexes.