C₀-semigroups and applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsevier Science
2003
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | North-Holland mathematics studies
191 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because they are very new. So, the book, although containing the main parts of the classical theory of C<INF>o</INF>-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semigroups such as equicontinuous, compact, differentiable, or analytic, as well as to some nonstandard types of partial differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with distributed (time, spatial) measures. Moreover, some finite-dimensional-like methods for certain semilinear pseudo-parabolic, or hyperbolic equations are also disscussed. Among the most interesting applications covered are not only the standard ones concerning the Laplace equation subject to either Dirichlet, or Neumann boundary conditions, or the Wave, or Klein-Gordon equations, but also those referring to the Maxwell equations, the equations of Linear Thermoelasticity, the equations of Linear Viscoelasticity, to list only a few. Moreover, each chapter contains a set of various problems, all of them completely solved and explained in a special section at the end of the book. The book is primarily addressed to graduate students and researchers in the field, but it would be of interest for both physicists and engineers. It should be emphasised that it is almost self-contained, requiring only a basic course in Functional Analysis and Partial Differential Equations Includes bibliographical references (p. 361-367) and index |
| Beschreibung: | 1 Online-Ressource (xii, 373 p.) |
| ISBN: | 9780444512888 0444512888 9780080530048 0080530044 |
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Datensatz im Suchindex
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| author | Vrabie, I. I., (Ioan I.) |
| author_facet | Vrabie, I. I., (Ioan I.) |
| author_role | aut |
| author_sort | Vrabie, I. I., (Ioan I.) |
| author_variant | i i i i v iiii iiiiv |
| building | Verbundindex |
| bvnumber | BV042317337 |
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| dewey-full | 515/.724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.724 |
| dewey-search | 515/.724 |
| dewey-sort | 3515 3724 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444512888 0444512888 9780080530048 0080530044 |
| language | English |
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| spelling | Vrabie, I. I., (Ioan I.) Verfasser aut C₀-semigroups and applications Ioan I. Vrabie 1st ed Amsterdam Elsevier Science 2003 1 Online-Ressource (xii, 373 p.) txt rdacontent c rdamedia cr rdacarrier North-Holland mathematics studies 191 The book contains a unitary and systematic presentation of both classical and very recent parts of a fundamental branch of functional analysis: linear semigroup theory with main emphasis on examples and applications. There are several specialized, but quite interesting, topics which didn't find their place into a monograph till now, mainly because they are very new. So, the book, although containing the main parts of the classical theory of C<INF>o</INF>-semigroups, as the Hille-Yosida theory, includes also several very new results, as for instance those referring to various classes of semigroups such as equicontinuous, compact, differentiable, or analytic, as well as to some nonstandard types of partial differential equations, i.e. elliptic and parabolic systems with dynamic boundary conditions, and linear or semilinear differential equations with distributed (time, spatial) measures. Moreover, some finite-dimensional-like methods for certain semilinear pseudo-parabolic, or hyperbolic equations are also disscussed. Among the most interesting applications covered are not only the standard ones concerning the Laplace equation subject to either Dirichlet, or Neumann boundary conditions, or the Wave, or Klein-Gordon equations, but also those referring to the Maxwell equations, the equations of Linear Thermoelasticity, the equations of Linear Viscoelasticity, to list only a few. Moreover, each chapter contains a set of various problems, all of them completely solved and explained in a special section at the end of the book. The book is primarily addressed to graduate students and researchers in the field, but it would be of interest for both physicists and engineers. It should be emphasised that it is almost self-contained, requiring only a basic course in Functional Analysis and Partial Differential Equations Includes bibliographical references (p. 361-367) and index MATHEMATICS / Functional Analysis bisacsh Semigroups of operators fast Semigroups of operators http://www.sciencedirect.com/science/book/9780444512888 Verlag Volltext |
| spellingShingle | Vrabie, I. I., (Ioan I.) C₀-semigroups and applications MATHEMATICS / Functional Analysis bisacsh Semigroups of operators fast Semigroups of operators |
| title | C₀-semigroups and applications |
| title_auth | C₀-semigroups and applications |
| title_exact_search | C₀-semigroups and applications |
| title_full | C₀-semigroups and applications Ioan I. Vrabie |
| title_fullStr | C₀-semigroups and applications Ioan I. Vrabie |
| title_full_unstemmed | C₀-semigroups and applications Ioan I. Vrabie |
| title_short | C₀-semigroups and applications |
| title_sort | c₀ semigroups and applications |
| topic | MATHEMATICS / Functional Analysis bisacsh Semigroups of operators fast Semigroups of operators |
| topic_facet | MATHEMATICS / Functional Analysis Semigroups of operators |
| url | http://www.sciencedirect.com/science/book/9780444512888 |
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