Screen LibraryOperator theory : nonclassical problems /
This monograph describes mathematical methods applicable to studying nonclassical problems of mathematical physics. The emphasis of the book is on applications of the interpolar theory of Banach spaces to the theory of linear operators to be expotentially dichotomous, to some continuity properties o...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin ; Boston : |
| Publication Dates: |
2013. ©2002 |
| Literature type: | eBook |
| Language: | English |
| Series: |
Inverse and ill-posed problems series ;
volume 33 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110900163 http://www.degruyter.com/doc/cover/9783110900163.jpg |
| Summary: |
This monograph describes mathematical methods applicable to studying nonclassical problems of mathematical physics. The emphasis of the book is on applications of the interpolar theory of Banach spaces to the theory of linear operators to be expotentially dichotomous, to some continuity properties of linear operators in Hilbert scales, to the Riesz basis property of eigenelements and associated elements of linear pencils and the correspondending elliptic problems with indefinite weight functions, and to studying nonclassical boundary value problems for first order operator-differential equations. |
| Carrier Form: |
1 online resource (ix, 346 pages) : illustrations. Also available in print edition. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: | 9783110900163 |
| Index Number: | QA329 |
| CLC: | O177.2 |
| Contents: |
Frontmatter -- Preface -- Introduction -- List of Designations -- Contents -- Chapter 1. Indefinite inner product spaces. Linear operators. Interpolation -- Chapter 2. Spectral theory for linear selfadjoint pencils -- Chapter 3. Elliptic eigenvalue problems with an indefinite weight function -- Chapter 4. Operator-differential equations -- Bibliography -- Index. |