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Published **1992**
by American Mathematical Society in Providence, R.I .

Written in English

- Global analysis (Mathematics),
- Nonlinear functional analysis.

**Edition Notes**

Statement | Felix E. Browder, editor. |

Series | Reprints from the Bulletin of the American Mathematical Society, , v. 1 |

Contributions | Browder, Felix E. |

Classifications | |
---|---|

LC Classifications | QA614 .N66 1992 |

The Physical Object | |

Pagination | ix, 625 p. : |

Number of Pages | 625 |

ID Numbers | |

Open Library | OL1732044M |

ISBN 10 | 0821885006 |

LC Control Number | 92036618 |

Contains a number of research-expository articles that appeared in the Bulletin of the ""AMS"" between and and that address the general area of nonlinear functional analysis and global . These include the nonlinear SchrÃƒÂ¶dinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations. About this book Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley. Global Analysis of Nonlinear Dynamics collects chapters on recent developments in global analysis of non-linear dynamical systems with a particular emphasis on cell mapping methods developed by Professor C.S. Hsu of the University of California, Berkeley.

Book Description. A thorough and self-contained introduction to linear and nonlinear functional analysis, with applications to numerical analysis, optimisation, and partial differential equations. The book presents a vast amount of foundational material, suitable for advanced undergraduates, along with historical notes, illustrations, Cited by: Nonlinear economic dynamics and global analysis. This chapter takes a historical perspective on the emergence of non-linear dynamic modelling in economics. Such models, in particular, involve multistability. In the form of piecewise linearity analysis dates back to the s, with study of fixed point and periodic attractors and their judybwolfman.com: Tönu Puu. satisfactory local and global wellposedness theory, even at very low regularities, by combining methods from both. We also discuss a less dispersive cousin of the KdV equation, namely the Benjamin-Ono equation, which requires more nonlinear techniques, such as gauge transforms, in order to obtain a satisfactory existence and wellposedness theory. Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the Nonlinear Analysis focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as.

These include the nonlinear Schrodinger equation, the nonlinear wave equation, the Korteweg de Vries equation, and the wave maps equation. This book is an introduction to the methods and results used in the modern analysis (both locally and globally in time) of the Cauchy problem for such equations.4/5(1). Depending on the specifics of a particular project, the level of detail of a nonlinear analysis can vary significantly. Where nonlinear analysis is used, it is common practice to begin analytical work with simpler linear models to establish baseline dynamic properties and global structural response. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with . Local and Global Analysis of Nonlinear Dispersive and Wave Equations book. Read reviews from world’s largest community for readers. Among nonlinear PDEs, 5/5(3).

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