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Convexity Methods in Hamiltonian Mechanics / Ivar Ekeland
| Convexity Methods in Hamiltonian Mechanics / Ivar Ekeland |
| Autore | Ekeland, Ivar |
| Pubbl/distr/stampa | Berlin, : Springer-Verlag, 1990 |
| Descrizione fisica | x, 247 p. ; 24 cm |
| Soggetto topico |
58-XX - Global analysis, analysis on manifolds [MSC 2020]
58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 70Hxx - Hamiltonian and Lagrangian mechanics [MSC 2020] 70Jxx - Linear vibration theory [MSC 2020] 70Kxx - Nonlinear dynamics in mechanics [MSC 2020] |
| Soggetto non controllato |
Area
Convexity Eigenvalue Equations Forms Functionals Hamiltonian Hamiltonian systems Mechanics Partial Differential Equations Perturbation Theory Potential Solutions Symmetric relations Systems Three-Body Problem |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00286765 |
Ekeland, Ivar
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| Berlin, : Springer-Verlag, 1990 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Critical point theory and Hamiltonian systems / Jean Mawhin, Michel Willem
| Critical point theory and Hamiltonian systems / Jean Mawhin, Michel Willem |
| Autore | Mawhin, Jean L. |
| Pubbl/distr/stampa | New York, : Springer, 1989 |
| Descrizione fisica | XIV, 277 p. ; 25 cm. |
| Altri autori (Persone) | Willem, Michel |
| Soggetto topico |
58-XX - Global analysis, analysis on manifolds [MSC 2020]
70H05 - Hamilton's equations [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020] |
| ISBN | 978-03-87969-08-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0047247 |
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Mawhin, Jean L.
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| New York, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Critical point theory and Hamiltonian systems / Jean Mawhin, Michel Willem
| Critical point theory and Hamiltonian systems / Jean Mawhin, Michel Willem |
| Autore | Mawhin, Jean L. |
| Pubbl/distr/stampa | New York, : Springer, 1989 |
| Descrizione fisica | XIV, 277 p. ; 25 cm |
| Altri autori (Persone) | Willem, Michel |
| Soggetto topico |
58-XX - Global analysis, analysis on manifolds [MSC 2020]
70H05 - Hamilton's equations [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020] |
| Soggetto non controllato |
Boundary Value Problems
Differential equations Mechanics Minimum Ordinary differential equations Partial differential equations |
| ISBN | 978-03-87969-08-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0047247 |
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Mawhin, Jean L.
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| New York, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Critical point theory and hamiltonian systems / Jean Mawhin, Michel Willem
| Critical point theory and hamiltonian systems / Jean Mawhin, Michel Willem |
| Autore | Mawhin, Jean L. |
| Pubbl/distr/stampa | New York, : Springer, 1989 |
| Descrizione fisica | XIV, 277 p. ; 25 cm |
| Altri autori (Persone) | Willem, Michel |
| Soggetto topico |
58-XX - Global analysis, analysis on manifolds [MSC 2020]
58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 70H05 - Hamilton's equations [MSC 2020] |
| Soggetto non controllato |
Boundary Value Problems
Differential Equations Mechanics Minimum Ordinary differential equations Partial Differential Equations |
| ISBN | 978-03-87969-08-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00047247 |
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Mawhin, Jean L.
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| New York, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Critical point theory and hamiltonian systems / Jean Mawhin, Michel Willem
| Critical point theory and hamiltonian systems / Jean Mawhin, Michel Willem |
| Autore | Mawhin, Jean L. |
| Pubbl/distr/stampa | New York, : Springer, 1989 |
| Descrizione fisica | xiv, 277 p. ; 25 cm |
| Altri autori (Persone) | Willem, Michel |
| Soggetto topico |
58-XX - Global analysis, analysis on manifolds [MSC 2020]
58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 70H05 - Hamilton's equations [MSC 2020] |
| Soggetto non controllato |
Boundary Value Problems
Differential Equations Mechanics Minimum Ordinary differential equations Partial Differential Equations |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | The last decade has seen a tremendous development in critical point theory in infinite dimensional spaces and its application to nonlinear boundary value problems. In particular, striking results were obtained in the classical problem of periodic solutions of Hamiltonian systems. This book provides a systematic presentation of the most basic tools of critical point theory: minimization, convex functions and Fenchel transform, dual least action principle, Ekeland variational principle, minimax methods, Lusternik- Schirelmann theory for Z2 and S1 symmetries, Morse theory for possibly degenerate critical points and non-degenerate critical manifolds. Each technique is illustrated by applications to the discussion of the existence, multiplicity, and bifurcation of the periodic solutions of Hamiltonian systems. Among the treated questions are the periodic solutions with fixed period or fixed energy of autonomous systems, the existence of subharmonics in the non-autonomous case, the asymptotically linear Hamiltonian systems, free and forced superlinear problems. Application of those results to the equations of mechanical pendulum, to Josephson systems of solid state physics and to questions from celestial mechanics are given. The aim of the book is to introduce a reader familiar to more classical techniques of ordinary differential equations to the powerful approach of modern critical point theory. The style of the exposition has been adapted to this goal. The new topological tools are introduced in a progressive but detailed way and immediately applied to differential equation problems. The abstract tools can also be applied to partial differential equations and the reader will also find the basic references in this direction in the bibliography of more than 500 items which concludes the book. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00269176 |
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Mawhin, Jean L.
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| New York, : Springer, 1989 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Elementary Symplectic Topology and Mechanics / Franco Cardin
| Elementary Symplectic Topology and Mechanics / Franco Cardin |
| Autore | Cardin, Franco |
| Pubbl/distr/stampa | Cham, : Springer, : Unione Matematica Italiana, 2015 |
| Descrizione fisica | xvii, 222 p. : ill. ; 24 cm |
| Soggetto topico |
53Dxx - Symplectic geometry, contact geometry [MSC 2020]
37Jxx - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 53Zxx - Applications of differential geometry to sciences and engineering [MSC 2020] 35F21 - Hamilton-Jacobi equations [MSC 2020] |
| Soggetto non controllato |
Hamilton-Jacobi Equation
Lusternik-Schnirelman theory Morse theory Symplectic geometry Viterbo symplectic topology |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0125308 |
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Cardin, Franco
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| Cham, : Springer, : Unione Matematica Italiana, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Elementary Symplectic Topology and Mechanics / Franco Cardin
| Elementary Symplectic Topology and Mechanics / Franco Cardin |
| Autore | Cardin, Franco |
| Pubbl/distr/stampa | Cham, : Springer, : Unione Matematica Italiana, 2015 |
| Descrizione fisica | xvii, 222 p. : ill. ; 24 cm |
| Soggetto topico |
35F21 - Hamilton-Jacobi equations [MSC 2020]
37Jxx - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 53Dxx - Symplectic geometry, contact geometry [MSC 2020] 53Zxx - Applications of differential geometry to sciences and engineering [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] |
| Soggetto non controllato |
Hamilton-Jacobi Equation
Lusternik-Schnirelman theory Morse theory Symplectic geometry Viterbo symplectic topology |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | This is a short tract on the essentials of differential and symplectic geometry together with a basic introduction to several applications of this rich framework: analytical mechanics, the calculus of variations, conjugate points & Morse index, and other physical topics. A central feature is the systematic utilization of Lagrangian submanifolds and their Maslov-Hörmander generating functions. Following this line of thought, first introduced by Wlodemierz Tulczyjew, geometric solutions of Hamilton-Jacobi equations, Hamiltonian vector fields and canonical transformations are described by suitable Lagrangian submanifolds belonging to distinct well-defined symplectic structures. This unified point of view has been particularly fruitful in symplectic topology, which is the modern Hamiltonian environment for the calculus of variations, yielding sharp sufficient existence conditions. This line of investigation was initiated by Claude Viterbo in 1992; here, some primary consequences of this theory are exposed in Chapter 8: aspects of Poincaré's last geometric theorem and the Arnol'd conjecture are introduced. In Chapter 7 elements of the global asymptotic treatment of the highly oscillating integrals for the Schrödinger equation are discussed: as is well known, this eventually leads to the theory of Fourier Integral Operators. This short handbook is directed toward graduate students in Mathematics and Physics and to all those who desire a quick introduction to these beautiful subjects. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00125308 |
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Cardin, Franco
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| Cham, : Springer, : Unione Matematica Italiana, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Elementary Symplectic Topology and Mechanics / Franco Cardin
| Elementary Symplectic Topology and Mechanics / Franco Cardin |
| Autore | Cardin, Franco |
| Edizione | [Cham : Springer : Unione Matematica Italiana, 2015] |
| Pubbl/distr/stampa | xvii, 222 p., : ill. ; 24 cm |
| Descrizione fisica | Pubblicazione in formato elettronico |
| Soggetto topico |
53Dxx - Symplectic geometry, contact geometry [MSC 2020]
37Jxx - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 53Zxx - Applications of differential geometry to sciences and engineering [MSC 2020] 35F21 - Hamilton-Jacobi equations [MSC 2020] |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-SUN0125308 |
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Cardin, Franco
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| xvii, 222 p., : ill. ; 24 cm | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Geometric Analysis and Computer Graphics : Proceedings of a Workshop held May 23–25, 1988 / Paul Concus, Robert Finn, David A. Hoffman Editors
| Geometric Analysis and Computer Graphics : Proceedings of a Workshop held May 23–25, 1988 / Paul Concus, Robert Finn, David A. Hoffman Editors |
| Pubbl/distr/stampa | New York [etc.], : Springer-Verlag, 1991 |
| Descrizione fisica | ix, 203 p. : ill. ; 24 cm |
| Soggetto topico |
49-XX - Calculus of variations and optimal control; optimization [MSC 2020]
53-XX - Differential geometry [MSC 2020] 53A10 - Minimal surfaces in differential geometry, surfaces with prescribed mean curvature [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] 68U05 - Computer graphics; computational geometry (digital and algorithmic aspects) [MSC 2020] 76-XX - Fluid mechanics [MSC 2020] 76B45 - Capillarity (surface tension) for incompressible inviscid fluids [MSC 2020] 82-XX - Statistical mechanics, structure of matter [MSC 2020] |
| Soggetto non controllato |
Animation
Computer Graphics Computers Curvature Development Fractals Graphics Impress Mean curvatures Minimal Surfaces Ray-tracing Rendering Scientific visualization Visualization Volume |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00288772 |
| New York [etc.], : Springer-Verlag, 1991 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Infinite Dimensional Morse Theory and Multiple Solution Problems / Kung-ching Chang
| Infinite Dimensional Morse Theory and Multiple Solution Problems / Kung-ching Chang |
| Autore | Chang, Kung-Ching |
| Pubbl/distr/stampa | New York, : Springer ; Boston, : Birkhäuser, 1993 |
| Descrizione fisica | x, 312 p. ; 24 cm |
| Soggetto topico |
35J20 - Variational methods for second-order elliptic equations [MSC 2020]
37Jxx - Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems [MSC 2020] 58-XX - Global analysis, analysis on manifolds [MSC 2020] 58E05 - Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces [MSC 2020] 58Exx - Variational problems in infinite-dimensional spaces [MSC 2020] |
| Soggetto non controllato |
Algebraic Topology
Boundary Value Problems Cohomology Hodge theory Homology Linear Optimization |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN00290364 |
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Chang, Kung-Ching
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| New York, : Springer ; Boston, : Birkhäuser, 1993 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Soggetto topico
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58Exx - Variational problems in infinite-dimensional spaces [MSC 2020]
(31)
- 34Cxx - Qualitative theory for ordinary differential equation [MSC 2020] (7)
- 58-XX - Global analysis, analysis on manifolds [MSC 2020] (7)
- 35J20 - Variational methods for second-order elliptic equations [MSC 2020] (5)
- 47Hxx - Nonlinear operators and their properties [MSC 2020] (5)