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[null,"1.","Record Nr.",null,"UNINA9910450915003321"]
[null,null,"Autore",null,"Ito Kazufumi"]
[null,null,"Titolo",null,"Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel"]
[null,null,"Pubbl/distr/stampa",null,"River Edge, N.J., : World Scientific, c2002"]
[null,null,"ISBN",null,"981-277-729-6"]
[null,null,"Descrizione fisica",null,"1 online resource (518 p.)"]
[null,null,"Collana",null,"Series on advances in mathematics for applied sciences ; ; v. 61"]
[null,null,"Disciplina",null,"515/.353"]
[null,null,"Soggetti",null,"Evolution equations - Numerical solutions"]
[{"$nulls":4},"Approximation theory"]
[{"$nulls":4},"Electronic books."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. 489-492) and index."]
[null,null,"Nota di contenuto",null,"Contents               ; Preface              ; Chapter 1. Dissipative and Maximal Monotone Operators                                                            ; 1.1 Duality mapping and directional derivatives of norms                                                               ; 1.2 Dissipative operators                                ; 1.3 Properties of m-dissipative operators                                                ; 1.4 Perturbation results for m-dissipative operators"]
[{"$nulls":4},"1.5 Maximal monotone operators                                     1.6 Convex functionals and subdifferentials                                                  ; Chapter 2. Linear Semigroups                                   ; 2.1 Examples and basic definitions                                         ; 2.2 Cauchy problems and mild solutions                                             ; 2.3 The Hille-Yosida theorem                                   ; 2.4 The Lumer-Phillips theorem                                     ; 2.5 A second order equation"]
[{"$nulls":4},"Chapter 3. Analytic Semigroups                                     3.1 Dissipative operators and sesquilinear forms                                                       ; 3.2 Analytic semigroups                              ; Chapter 4. Approximation of Co-Semigroups                                                ; 4.1 The Trotter-Kato theorem                                   ; 4.2 Approximation of nonhomogeneous problems                                                   ; 4.3 Variational formulations of the Trotter-Kato theorem"]
[{"$nulls":4},"4.4 An approximation result for analytic semigroups                                                          Chapter 5. Nonlinear Semigroups of Contractions                                                      ; 5.1 Generation of nonlinear semigroups                                             ; 5.2 Cauchy problems with dissipative operators                                                     ; 5.3 The infinitesimal generator                                      ; 5.4 Nonlinear "]
[{"$nulls":4},"diffusion"]
[{"$nulls":4},"Chapter 6. Locally Quasi-Dissipative Evolution Equations                                                               6.1 Locally quasi-dissipative operators                                              ; 6.2 Assumptions on the operators A(t)                                            ; 6.3 DS-approximations and fundamental estimates                                                      ; 6.4 Existence of DS-approximations                                         ; 6.5 Existence and uniqueness of mild solutions"]
[{"$nulls":4},"6.6 Autonomous problems"]
[null,null,null,"Sommario/riassunto","This book presents an approximation theory for a general class of nonlinear evolution equations in Banach spaces and the semigroup theory, including the linear (Hille-Yosida), nonlinear (Crandall-Liggett) and time-dependent (Crandall-Pazy) theorems.  The implicit finite difference method of Euler is shown to generate a sequence convergent to the unique integral solution of evolution equations of the maximal monotone type. Moreover, the Chernoff theory provides a sufficient condition for consistent and stable time integration of time-dependent nonlinear equations. The Trotter-Kato theorem and"]
[null,"2.","Record Nr.",null,"UNISA996215626303316"]
[null,null,"Titolo",null,"Administrative professional today"]
[null,null,"Pubbl/distr/stampa",null,"Falls Church, Va., : National Institute of Business Management, ©2008-"]
[null,null,"ISSN",null,"1943-2194"]
[null,null,"Descrizione fisica",null,"1 online resource"]
[null,null,"Disciplina",null,"650"]
[null,null,"Soggetti",null,"Administrative assistants"]
[{"$nulls":4},"Periodicals."]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Periodico"]
[null,null,null,"Note generali","Title from caption."]