Distributions, sobolev spaces, elliptic equations

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...

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Autor principal: Haroske, Dorothee D.
Format: Llibre
Idioma:Undetermined
Publicat: Germany European Mathematical Society 2008
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Thư viện lưu trữ: Trung tâm Học liệu Trường Đại học Cần Thơ
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Sumari: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