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Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel
| Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel |
| Autore | Ito Kazufumi |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (518 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) | KappelF |
| Collana | Series on advances in mathematics for applied sciences |
| Soggetto topico |
Evolution equations - Numerical solutions
Approximation theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-277-729-6 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 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 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 diffusion 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 6.6 Autonomous problems |
| Record Nr. | UNINA-9910450915003321 |
Ito Kazufumi
|
||
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel
| Evolution equations and approximations [[electronic resource] /] / Kazufumi Ito, Franz Kappel |
| Autore | Ito Kazufumi |
| Pubbl/distr/stampa | River Edge, N.J., : World Scientific, c2002 |
| Descrizione fisica | 1 online resource (518 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) | KappelF |
| Collana | Series on advances in mathematics for applied sciences |
| Soggetto topico |
Evolution equations - Numerical solutions
Approximation theory |
| ISBN | 981-277-729-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
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
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 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 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 diffusion 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 6.6 Autonomous problems |
| Record Nr. | UNINA-9910785071403321 |
|
Ito Kazufumi
|
||
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||