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[null,"1.","Record Nr.",null,"UNISA996495167503316"]
[null,null,"Autore",null,"Lee Jihoon"]
[null,null,"Titolo",null,"Gromov-Hausdorff stability of dynamical systems and applications to PDEs / / Jihoon Lee and Carlos Morales"]
[null,null,"Pubbl/distr/stampa",null,"Cham, Switzerland : , : Birkhäuser, , [2022]"]
[{"$nulls":4},"©2022"]
[null,null,"ISBN",null,"3-031-12031-0"]
[null,null,"Descrizione fisica",null,"1 online resource (169 pages)"]
[null,null,"Collana",null,"Frontiers in mathematics"]
[null,null,"Disciplina",null,"515.352"]
[null,null,"Soggetti",null,"Differentiable dynamical systems"]
[{"$nulls":4},"Differential equations, Partial"]
[{"$nulls":4},"Geometry, Differential"]
[{"$nulls":4},"Sistemes dinàmics diferenciables"]
[{"$nulls":4},"Equacions en derivades parcials"]
[{"$nulls":4},"Geometria diferencial"]
[{"$nulls":4},"Llibres electrònics"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references."]
[null,null,"Nota di contenuto",null,"Intro -- Preface -- Contents -- Part I Abstract Theory -- 1 Gromov-Hausdorff Distances -- 1.1 Introduction -- 1.2 Preliminary Facts -- 1.3 Gromov-Hausdorff Distance for Metric Spaces -- 1.4 Precompactness, Completeness, and a Variational Principle -- 1.5 A Variational Principle for the Gromov-Hausdorff Distance -- 1.6 Distances Characterizing Homeomorphic Spaces -- 1.7 C0-Gromov-Hausdorff Distance for Dynamical Systems -- 1.8 Gromov-Hausdorff Space of Continuous Maps -- Exercises -- 2 Stability -- 2.1 Introduction -- 2.2 Definitions and Statement of Main Results -- 2.3 Proof of Theorem 2.1 -- 2.4 Isometric Stability: Proof of Theorem 2.4 -- 2.5 Proof of Theorem 2.5 -- 2.6 Gromov-Hausdorff Stability for Group Actions -- 2.7 Gromov-Hausdorff Stability of Global Attractors -- Exercises -- 3 Continuity of the Shift Operator -- 3.1 Introduction -- 3.2 Preliminary Facts -- 3.3 Proof of Theorem 3.1 -- 3.4 Application to Stability Theory -- Exercises -- 4 Shadowing from the Gromov-Hausdorff Viewpoint -- 4.1 Introduction -- 4.2 Definitions, Statement of Main Results, and Proofs -- Exercises -- Part II Applications to PDEs -- Introduction -- 5 GH-Stability of Reaction-Diffusion Equations -- 5.1 Introduction -- 5.2 Proof of Theorem 5.1 -- 5.3 Proof of Theorem 5.2 -- 6 Stability of "]
[{"$nulls":4},"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."]