Evolution Equations (Clay Mathematics Proceedings)

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9780821868614: Evolution Equations (Clay Mathematics Proceedings)

This volume is a collection of notes from lectures given at the 2008 Clay Mathematics Institute Summer School, held in ZŘrich, Switzerland. The lectures were designed for graduate students and mathematicians within five years of the Ph.D., and the main focus of the program was on recent progress in the theory of evolution equations. Such equations lie at the heart of many areas of mathematical physics and arise not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schr÷dinger equations) but also in the high energy or semi-classical limits of elliptic problems. The three main courses focused mainly on microlocal analysis and spectral and scattering theory, the theory of the nonlinear Schr÷dinger and wave equations, and evolution problems in general relativity. These major topics were supplemented by several mini-courses reporting on the derivation of effective evolution equations from microscopic quantum dynamics; on wave maps with and without symmetries; on quantum N-body scattering, diffraction of waves, and symmetric spaces; and on nonlinear Schr÷dinger equations at critical regularity. Although highly detailed treatments of some of these topics are now available in the published literature, in this collection the reader can learn the fundamental ideas and tools with a minimum of technical machinery. Moreover, the treatment in this volume emphasizes common themes and techniques in the field, including exact and approximate conservation laws, energy methods, and positive commutator arguments. Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

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About the Author:

David Ellwood, Harvard University, Cambridge, MA, USA. Igor Rodnianski, Massachusetts Institute of Technology, Cambridge, MA, USA. Gigliola Staffilani, Massachusetts Institute of Technology, Cambridge, MA, USA. Jared Wunsch, Northwestern University, Evanston, IL, USA.

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David Ellwood
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Descrizione libro American Mathematical Society & the Clay Mathematics Institute, 2013. Paperback. Condizione libro: New. book. Codice libro della libreria 0821868616

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Descrizione libro American Mathematical Society, United States, 2013. Microfilm. Condizione libro: New. Language: English . Brand New Book. This volume is a collection of notes from lectures given at the 2008 Clay Mathematics Institute Summer School, held in Zurich, Switzerland. The lectures were designed for graduate students and mathematicians within five years of the Ph.D., and the main focus of the programme was on recent progress in the theory of evolution equations. Such equations lie at the heart of many areas of mathematical physics and arise not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schrodinger equations) but also in the high energy or semi-classical limits of elliptic problems. The three main courses presented focused mainly on microlocal analysis and spectral and scattering theory, the theory of the nonlinear Schrodinger and wave equations, and evolution problems in general relativity. These major topics were supplemented by several mini-courses on the derivation of effective evolution equations from microscopic quantum dynamics, on wave maps with and without symmetries, on quantum N-body scattering, diffraction of waves, and symmetric spaces, and on nonlinear Schrodinger equations at critical regularity.Although highly detailed treatments of some of these topics are now available in the published literature, in this collection the reader can learn the fundamental ideas and tools with a minimum of technical machinery. Moreover, the treatment in this volume emphasises common themes and techniques in the field, including exact and approximate conservation laws, energy methods, and positive commutator arguments. Codice libro della libreria AAN9780821868614

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Descrizione libro American Mathematical Society, 2013. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780821868614

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David Ellwood, Igor Rodnianski, Gigliola Staffilani, Jared Wunsch
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Descrizione libro American Mathematical Society. Microfilm. Condizione libro: new. BRAND NEW, Evolution Equations: Clay Mathematics Institute Summer School, Evolution Equations, Eidgeneossische Technische Hochschule, Zeurich, Switzerland, June 23-July 18, 2008, David Ellwood, Igor Rodnianski, Gigliola Staffilani, Jared Wunsch, This volume is a collection of notes from lectures given at the 2008 Clay Mathematics Institute Summer School, held in Zurich, Switzerland. The lectures were designed for graduate students and mathematicians within five years of the Ph.D., and the main focus of the programme was on recent progress in the theory of evolution equations. Such equations lie at the heart of many areas of mathematical physics and arise not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schrodinger equations) but also in the high energy or semi-classical limits of elliptic problems. The three main courses presented focused mainly on microlocal analysis and spectral and scattering theory, the theory of the nonlinear Schrodinger and wave equations, and evolution problems in general relativity. These major topics were supplemented by several mini-courses on the derivation of effective evolution equations from microscopic quantum dynamics, on wave maps with and without symmetries, on quantum N-body scattering, diffraction of waves, and symmetric spaces, and on nonlinear Schrodinger equations at critical regularity. Although highly detailed treatments of some of these topics are now available in the published literature, in this collection the reader can learn the fundamental ideas and tools with a minimum of technical machinery. Moreover, the treatment in this volume emphasises common themes and techniques in the field, including exact and approximate conservation laws, energy methods, and positive commutator arguments. Codice libro della libreria B9780821868614

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Descrizione libro American Mathematical Society, United States, 2013. Microfilm. Condizione libro: New. Language: English . Brand New Book. This volume is a collection of notes from lectures given at the 2008 Clay Mathematics Institute Summer School, held in Zurich, Switzerland. The lectures were designed for graduate students and mathematicians within five years of the Ph.D., and the main focus of the programme was on recent progress in the theory of evolution equations. Such equations lie at the heart of many areas of mathematical physics and arise not only in situations with a manifest time evolution (such as linear and nonlinear wave and Schrodinger equations) but also in the high energy or semi-classical limits of elliptic problems. The three main courses presented focused mainly on microlocal analysis and spectral and scattering theory, the theory of the nonlinear Schrodinger and wave equations, and evolution problems in general relativity. These major topics were supplemented by several mini-courses on the derivation of effective evolution equations from microscopic quantum dynamics, on wave maps with and without symmetries, on quantum N-body scattering, diffraction of waves, and symmetric spaces, and on nonlinear Schrodinger equations at critical regularity.Although highly detailed treatments of some of these topics are now available in the published literature, in this collection the reader can learn the fundamental ideas and tools with a minimum of technical machinery. Moreover, the treatment in this volume emphasises common themes and techniques in the field, including exact and approximate conservation laws, energy methods, and positive commutator arguments. Codice libro della libreria AAN9780821868614

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Ellwood, David (Editor)/ Rodnianski, Igor (Editor)/ Staffilani, Gigliola (Editor)/ Wunsch, Jared (Editor)
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Descrizione libro Amer Mathematical Society, 2013. Paperback. Condizione libro: Brand New. 570 pages. 9.75x6.75x1.25 inches. In Stock. Codice libro della libreria __0821868616

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