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Global attractors in abstract parabolic problems /
This book investigates the asymptotic behaviour of dynamical systems corresponding to parabolic equations.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2000.
|
| Colección: | London Mathematical Society lecture note series ;
278. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Cholewa, Jan W. | |
| 245 | 1 | 0 | |a Global attractors in abstract parabolic problems / |c Jan W. Cholewa & Tomasz Dlotko ; in cooperation with Nathaniel Chafee. |
| 260 | |a Cambridge, UK ; |a New York : |b Cambridge University Press, |c 2000. | ||
| 300 | |a 1 online resource (xii, 235 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series ; |v 278 | |
| 504 | |a Includes bibliographical references (pages 225-233) and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | |a This book investigates the asymptotic behaviour of dynamical systems corresponding to parabolic equations. | ||
| 505 | 0 | |a Ch. 1. Preliminary Concepts -- 1.1. Elements of stability theory -- 1.2. Inequalities. Elliptic operators -- 1.3. Sectorial operators -- Ch. 2. The abstract Cauchy problem -- 2.1. Evolutionary equation with sectorial operator -- 2.2. Variation of constants formula -- 2.3. Local X[superscript [alpha]] solutions -- Ch. 3. Semigroups of global solutions -- 3.1. Generation of nonlinear semigroups -- 3.2. Smoothing properties of the semigroup -- 3.3. Compactness results -- Ch. 4. Construction of the global attractor -- 4.1. Dissipativeness of {T(t)} -- 4.2. Existence of a global attractor -- abstract setting -- 4.3. Global solvability and attractors in X[superscript [alpha]] scales -- Ch. 5. Application of abstract results to parabolic equations -- 5.1. Formulation of the problem -- 5.2. Global solutions via partial information -- 5.3. Existence of a global attractor -- Ch. 6. Examples of global attractors in parabolic problems -- 6.1. Introductory example -- 6.2. Single second order dissipative equation -- 6.3. The method of invariant regions -- 6.4. The Cahn-Hilliard pattern formation model -- 6.5. Burgers equation -- 6.6. Navier-Stokes equations in low dimension (n [less than or equal to] 2) -- 6.7. Cauchy problems in the half-space R[superscript +] x R[superscript n] -- Ch. 7. Backward uniqueness and regularity of solutions -- 7.1. Invertible processes -- 7.2. X[superscript s+[alpha]] solutions; s [greater than or equal to] 0, [alpha][Epsilon](0,1) -- Ch. 8. Extensions -- 8.1. Non-Lipschitz nonlinearities -- 8.2. Application of the principle of linearized stability -- 8.3. The n-dimensional Navier-Stokes system -- 8.4. Parabolic problems in Holder spaces -- 8.5. Dissipativeness in Holder spaces -- 8.6. Equations with monotone operators -- Ch. 9. Appendix -- 9.1. Notation, definitions and conventions -- 9.2. Abstract version of the maximum principle -- 9.3. L[superscript [infinity]]([Omega]) estimate for second order problems -- 9.4. Comparison of X[superscript [alpha]] solution with other types of solutions -- 9.5. Final remarks. | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Attractors (Mathematics) | |
| 650 | 0 | |a Differential equations, Parabolic. | |
| 650 | 6 | |a Attracteurs (Mathématiques) | |
| 650 | 6 | |a Équations différentielles paraboliques. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Attractors (Mathematics) |2 fast |0 (OCoLC)fst00820911 | |
| 650 | 7 | |a Differential equations, Parabolic. |2 fast |0 (OCoLC)fst00893480 | |
| 650 | 1 | 7 | |a Parabolische differentiaalvergelijkingen. |2 gtt |
| 650 | 1 | 7 | |a Dynamische systemen. |2 gtt |
| 650 | 7 | |a Attracteurs (Mathématiques) |2 ram | |
| 650 | 7 | |a Equations différentielles paraboliques. |2 ram | |
| 700 | 1 | |a Dlotko, Tomasz. | |
| 710 | 2 | |a London Mathematical Society. | |
| 776 | 0 | 8 | |i Print version: |a Cholewa, Jan W. |t Global attractors in abstract parabolic problems. |d Cambridge, UK ; New York : Cambridge University Press, 2000 |z 0521794242 |w (DLC) 00710511 |w (OCoLC)44014677 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v 278. | |
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