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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
|
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| 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 | ||
| ||
Evolution equations and approximations / / Kazufumi Ito, Franz Kappel
| Evolution equations and approximations / / Kazufumi Ito, Franz Kappel |
| Autore | Ito Kazufumi |
| Edizione | [1st ed.] |
| 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-9910812469303321 |
|
Ito Kazufumi
|
||
| River Edge, N.J., : World Scientific, c2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Infinite-dimensional systems : proceedings of the conference on operator semigroups and applications held in Retzhof (Styria), Austria, June 5-11 1983 / / edited by F. Kappel and W. Schappacher
| Infinite-dimensional systems : proceedings of the conference on operator semigroups and applications held in Retzhof (Styria), Austria, June 5-11 1983 / / edited by F. Kappel and W. Schappacher |
| Edizione | [1st ed. 1984.] |
| Pubbl/distr/stampa | Berlin ; ; Heidelberg : , : Springer-Verlag, , [1984] |
| Descrizione fisica | 1 online resource (X, 282 p.) |
| Disciplina | 515.35 |
| Collana | Lecture Notes in Mathematics |
| Soggetto topico |
Differential equations, Linear
Differential equations, Nonlinear |
| ISBN | 3-540-38932-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Generators of positive semigroups -- Wiener's theorem and semigroups of operators -- A class of nonlinear diffusion problems -- On abstract Volterra equations in Banach spaces with completely positive kernels -- Stability of non-autonomous delay differential equations by Liapunov functionals -- Abstract differential equations and extrapolation spaces -- Wave propagation for abstract integrodifferential equations -- Retarded abstract equations in Hilbert spaces -- A variation of parameters formula for burgers system -- A typical Perron-Frobenius theorem with applications to an age-dependent population equation -- On positive solutions of semilinear periodic-parabolic problems -- A simplified approach to the existence and stability problem of a functional evolution equation in a general Banach space -- Approximations of analytic and differentiable semigroups — Rate of convergence with nonsmooth initial conditions -- Asymptotic estimates for resolvents of some integral equations -- The rate of convergence in singular perturbations of parabolic equations -- Some problems on non-linear semigroups and the blow-up of integral solutions -- The linear quadratic optimal control problem for infinite dimensional systems with unbounded input and output operators -- On the differentiability of nonlinear semigroups -- Semigroups generated by a convolution equation -- A?-bounded, finite rank perturbations of s.c. group generators A: Counterexamples to generation and to another condition for well-posedness -- A semigroup proof of the Sharpe-Lotka theorem -- Integrable resolvent operators for integrodifferential equations in Hilbert space. |
| Record Nr. | UNISA-996466762503316 |
| Berlin ; ; Heidelberg : , : Springer-Verlag, , [1984] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
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Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems / / Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors
| Mathematical modeling and validation in physiology : applications to the cardiovascular and respiratory systems / / Jerry J. Batzel, Mostafa Bachar, Franz Kappel, editors |
| Edizione | [1st ed. 2013.] |
| Pubbl/distr/stampa | Berlin ; ; New York, : Springer, c2013 |
| Descrizione fisica | 1 online resource (XX, 254 p. 83 illus., 34 illus. in color.) |
| Disciplina | 571.015118 |
| Altri autori (Persone) |
BatzelJerry J
BacharMostafa KappelF |
| Collana | Lecture notes in mathematics |
| Soggetto topico |
Human physiology - Mathematical models
Cardiovascular system - Mathematical models Respiratory organs - Mathematical models |
| ISBN | 3-642-32882-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | 1 Merging Mathematical and Physiological Knowledge: Dimensions and Challenges -- 2 Mathematical Modeling of Physiological Systems -- 3 Parameter Selection Methods in Inverse Problem Formulation.- 4 Application of the Unscented Kalman Filtering to Parameter Estimation -- 5 Integrative and Reductionist Approaches to Modeling of Control of Breathing -- 6 Parameter Identification in a Respiratory Control System Model with Delay -- 7 Experimental Studies of Respiration and Apnea -- 8 Model Validation and Control Issues in the Respiratory System -- 9 Experimental Studies of the Baroreflex -- 10 Development of Patient Specific Cardiovascular Models Predicting Dynamics in Response to Orthostatic Stress Challenges -- 11 Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume. |
| Record Nr. | UNINA-9910438149703321 |
| Berlin ; ; New York, : Springer, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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