Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Gromov-Hausdorff stability of dynamical systems and applications to PDEs / / Jihoon Lee and Carlos Morales
| Gromov-Hausdorff stability of dynamical systems and applications to PDEs / / Jihoon Lee and Carlos Morales |
| Autore | Lee Jihoon |
| Pubbl/distr/stampa | Cham, Switzerland : , : Birkhäuser, , [2022] |
| Descrizione fisica | 1 online resource (169 pages) |
| Disciplina | 515.352 |
| Collana | Frontiers in mathematics |
| Soggetto topico |
Differentiable dynamical systems
Differential equations, Partial Geometry, Differential Sistemes dinàmics diferenciables Equacions en derivades parcials Geometria diferencial |
| Soggetto genere / forma | Llibres electrònics |
| ISBN | 3-031-12031-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Intro -- Preface -- Contents -- Part I Abstract Theory -- 1 Gromov-Hausdorff Distances -- 1.1 Introduction -- 1.2 Preliminary Facts -- 1.3 Gromov-Hausdorff Distance for Metric Spaces -- 1.4 Precompactness, Completeness, and a Variational Principle -- 1.5 A Variational Principle for the Gromov-Hausdorff Distance -- 1.6 Distances Characterizing Homeomorphic Spaces -- 1.7 C0-Gromov-Hausdorff Distance for Dynamical Systems -- 1.8 Gromov-Hausdorff Space of Continuous Maps -- Exercises -- 2 Stability -- 2.1 Introduction -- 2.2 Definitions and Statement of Main Results -- 2.3 Proof of Theorem 2.1 -- 2.4 Isometric Stability: Proof of Theorem 2.4 -- 2.5 Proof of Theorem 2.5 -- 2.6 Gromov-Hausdorff Stability for Group Actions -- 2.7 Gromov-Hausdorff Stability of Global Attractors -- Exercises -- 3 Continuity of the Shift Operator -- 3.1 Introduction -- 3.2 Preliminary Facts -- 3.3 Proof of Theorem 3.1 -- 3.4 Application to Stability Theory -- Exercises -- 4 Shadowing from the Gromov-Hausdorff Viewpoint -- 4.1 Introduction -- 4.2 Definitions, Statement of Main Results, and Proofs -- Exercises -- Part II Applications to PDEs -- Introduction -- 5 GH-Stability of Reaction-Diffusion Equations -- 5.1 Introduction -- 5.2 Proof of Theorem 5.1 -- 5.3 Proof of Theorem 5.2 -- 6 Stability of Inertial Manifolds -- 6.1 Introduction -- 6.2 Proof of Theorem 6.2 -- 6.3 Proof of Theorem 6.3 -- 7 Stability of Chafee-Infante Equations -- 7.1 Introduction -- 7.2 L-Morse-Smale and Equivalence of Global Attractors -- 7.3 Continuity of Global Attractors -- 7.4 Geometric Stability -- References. |
| Record Nr. | UNISA-996495167503316 |
Lee Jihoon
|
||
| Cham, Switzerland : , : Birkhäuser, , [2022] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs / / by Jihoon Lee, Carlos Morales
| Gromov-Hausdorff Stability of Dynamical Systems and Applications to PDEs / / by Jihoon Lee, Carlos Morales |
| Autore | Lee Jihoon |
| Edizione | [1st ed. 2022.] |
| Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 |
| Descrizione fisica | 1 online resource (169 pages) |
| Disciplina |
515.352
516.36 |
| Collana | Frontiers in Mathematics |
| Soggetto topico |
Dynamics
Differential equations Geometry, Differential Dynamical Systems Differential Equations Differential Geometry |
| ISBN | 3-031-12031-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Part I: Abstract Theory -- Gromov-Hausdorff distances -- Stability -- Continuity of Shift Operator -- Shadowing from Gromov-Hausdorff Viewpoint -- Part II: Applications to PDEs -- GH-Stability of Reaction Diffusion Equation -- Stability of Inertial Manifolds -- Stability of Chafee-Infante Equations. |
| Record Nr. | UNINA-9910624380003321 |
|
Lee Jihoon
|
||
| Cham : , : Springer International Publishing : , : Imprint : Birkhäuser, , 2022 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||