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Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included.
Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations.The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.
Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and continuing importance. Particular attention is given to the characterisation of self-adjoint extensions of symmetric operators acting in a Hilbert space and, for elliptic operators, the realisation of such extensions in terms of boundary conditions. A good deal of material not previously available in book form, such as the treatment of the Schauder estimates, is included.
Requiring only basic knowledge of measure theory and functional analysis, the book is accessible to graduate students and will be of interest to all researchers in partial differential equations.The reader will value its self-contained, thorough and unified presentation of the modern theory of elliptic operators.
David Edmunds is an analyst who has been at the University of Sussex since 1966 where he is currently Emeritus Professor. His interests include function spaces, interpolation theory, entropy and s-numbers, and elliptic partial differential equations.
Desmond Evans is Emeritus Professor at the University of Cardiff, having been at Cardiff since 1964. His main research interests are in the spectral theory associated with differential equations and related areas of analysis and mathematical physics. These related areas include the properties of function spaces and the mappings between them, growth and asymptotic estimates for eigenvalues and s-numbers, and inequalities.
Presents core material on elliptic operators as well as advanced topics
Provides detailed information about the function spaces related to elliptic operators
Includes results on extensions of adjoint operators and applications to elliptic boundary value problems
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Springer Monographs in Mathematics |
| Inhalt: |
xiii
322 S. 78 s/w Illustr. 322 p. 78 illus. |
| ISBN-13: | 9783030021245 |
| ISBN-10: | 3030021246 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-030-02124-5 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Evans, W. D.
Edmunds, D. E. |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Monographs in Mathematics |
| Maße: | 241 x 160 x 24 mm |
| Von/Mit: | W. D. Evans (u. a.) |
| Erscheinungsdatum: | 05.12.2018 |
| Gewicht: | 0,67 kg |
David Edmunds is an analyst who has been at the University of Sussex since 1966 where he is currently Emeritus Professor. His interests include function spaces, interpolation theory, entropy and s-numbers, and elliptic partial differential equations.
Desmond Evans is Emeritus Professor at the University of Cardiff, having been at Cardiff since 1964. His main research interests are in the spectral theory associated with differential equations and related areas of analysis and mathematical physics. These related areas include the properties of function spaces and the mappings between them, growth and asymptotic estimates for eigenvalues and s-numbers, and inequalities.
Presents core material on elliptic operators as well as advanced topics
Provides detailed information about the function spaces related to elliptic operators
Includes results on extensions of adjoint operators and applications to elliptic boundary value problems
| Erscheinungsjahr: | 2018 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Springer Monographs in Mathematics |
| Inhalt: |
xiii
322 S. 78 s/w Illustr. 322 p. 78 illus. |
| ISBN-13: | 9783030021245 |
| ISBN-10: | 3030021246 |
| Sprache: | Englisch |
| Herstellernummer: | 978-3-030-02124-5 |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: |
Evans, W. D.
Edmunds, D. E. |
| Auflage: | 1st ed. 2018 |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Springer Monographs in Mathematics |
| Maße: | 241 x 160 x 24 mm |
| Von/Mit: | W. D. Evans (u. a.) |
| Erscheinungsdatum: | 05.12.2018 |
| Gewicht: | 0,67 kg |
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