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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| Format: | Livre |
| Langue: | Undetermined |
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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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| Résumé: | 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 |
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