This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schrödinger equation and the generalized Korteweg–de Vries equation, properties of their solutions, and a survey of general classes of nonlinear dispersive equations of physical and mathematical significance. Each chapter ends with an expert account of recent developments and open problems, as well as exercises. The final chapter gives a detailed exposition of local well-posedness for the nonlinear Schrödinger equation, taking the reader to the forefront of recent research. The second edition of Introduction to Nonlinear Dispersive Equations builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate students and researchers to enter this actively developing field.
The writing of Felipe Benítez Reyes, a significant contributor to the Spanish Postmodern esthetic, speaks to issues of voice, persona, and the possibilities of fiction. Probable Lives won the 1996 National Book Award in Spain, the 1996 National Critics' Award in Spain, and the City of Melilla International Prize. A book of heteronyms, the character-poets in Probable Lives read as forgotten or unknown twentieth-century authors, all "rediscovered" and compiled by an anthologist who is also the creation of Reyes. Probable Lives tweaks the notion of identity in ways that are both engaging and downright funny.
A welcome addition to the growing literature dedicated to 'Atlantic Studies.'. . . Recommended for the professional scholar, the university student, and the educated public."—History
Centris (Paracentris) Cameron is one of the most specious and morphologically diverse subgenera of the bee genus Centris Fabricius. These two features, along with the lack of modern taxonomic revisions make this group one of the lineages with the greatest taxonomic problems within Centridini. Partial revisions of groups of species from North and South America have been published, but none comprehensively studying all species described. In this book are studied all species of Centris (Paracentris) for the first time, providing diagnoses and redescriptions of both sexes. The following twenty one species are described as new: C. aenigmatica sp. nov., C. agyniax sp. nov., C. areequipensis sp. nov., C. aymara sp. nov., C. bagualis sp. nov., C. caribensis sp. nov., C. comonoxa sp. nov., C. diaguita sp. nov., C. euctenoda sp. nov., C. hexirrhina sp. nov., C. inca sp. nov., C. mexicanaides sp. nov., C. milluni sp. nov., C. multistriata sp. nov., C. niveiceps sp. nov., C. rasmusseni sp. nov., C. rozeni sp. nov., C. sacsayhuaman sp. nov., C. tayabamba sp. nov., C. xenopoda sp. nov., and C. yawar sp. nov., mainly from the South American Andes, including the first species recorded from the Caribbean. Centris satana Snelling is proposed as new junior synonym of C. laevibullata Snelling. In addition, the male of C. cisnerosi (Cockerell) and the female of C. euphenax Cockrell are described for the first time. An identification key, figures, maps, new distribution records, floral hosts, and an updated catalog for all species of the subgenus are also provided.
Among the voyages of exploration and surveying in the late 18th century, that of Alejandro Malaspina best represents the high ideals and scientific interests of the Enlightenment. Italian-born, Malaspina entered the Spanish navy in 1774. In September 1788 he and fellow-officer José Bustamante submitted a plan to the Ministry of Marine for a voyage of survey and inspection to Spanish territories in the Americas and Philippines. The expedition was to produce hydrographic charts for the use of Spanish merchantmen and warships and to report on the political, economic and defensive state of Spain's overseas possessions. The plan was approved and in July 1789 Malaspina and Bustamante sailed from Cádiz in the purpose-built corvettes, Descubierta and Atrevida. On board the vessels were scientists and artists and an array of the latest surveying and astronomical instruments. The voyage lasted more than five years. On his return Malaspina was promoted Brigadier de la Real Armada, and began work on an account of the voyage in seven volumes to dwarf the narratives of his predecessors in the Pacific such as Cook and Bougainville. Among much else, it would contain sweeping recommendations for reform in the governance of Spain's overseas empire. But Malaspina became involved in political intrigue. In November 1795 he was arrested, stripped of his rank and sentenced to life imprisonment. Although released in 1803, Malaspina spent the last seven years of his life in obscure retirement in Italy. He never resumed work on the great edition, and his journal was not published in Spain until 1885. Only in recent years has a multi-volume edition appeared under the auspices of the Museo Naval, Madrid, that does justice to the achievements of what for long was a forgotten voyage. This first volume of a series of three contains Malaspina's diario or journal from 31 July 1789 to 14 December 1790, newly translated into English, with substantial introduction and commentary. Among the places visited and described are Montevideo, Puerto Deseado, Port Egmont, Puerto San Carlos, Valparaíso, Callao, Guayaquil and Panamá. Other texts include Malaspina's introduction to his intended edition, and his correspondence with the Minister of the Marine before and during the voyage.
This textbook introduces the well-posedness theory for initial-value problems of nonlinear, dispersive partial differential equations, with special focus on two key models, the Korteweg–de Vries equation and the nonlinear Schrödinger equation. A concise and self-contained treatment of background material (the Fourier transform, interpolation theory, Sobolev spaces, and the linear Schrödinger equation) prepares the reader to understand the main topics covered: the initial-value problem for the nonlinear Schrödinger equation and the generalized Korteweg–de Vries equation, properties of their solutions, and a survey of general classes of nonlinear dispersive equations of physical and mathematical significance. Each chapter ends with an expert account of recent developments and open problems, as well as exercises. The final chapter gives a detailed exposition of local well-posedness for the nonlinear Schrödinger equation, taking the reader to the forefront of recent research. The second edition of Introduction to Nonlinear Dispersive Equations builds upon the success of the first edition by the addition of updated material on the main topics, an expanded bibliography, and new exercises. Assuming only basic knowledge of complex analysis and integration theory, this book will enable graduate students and researchers to enter this actively developing field.
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