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Mathematical aspects of nonlinear dispersive equations (am-163) /

This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers...

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Bibliographic Details
Corporate Authors: De Gruyter.
Group Author: Bourgain, Jean; Kenig, Carlos E.; Klainerman, Sergiu
Published: Princeton University Press,
Publisher Address: Princeton, N.J. :
Publication Dates: [2007]
©2007
Literature type: eBook
Language: English
Edition: Course Book.
Series: Annals of mathematics studies; 163
Subjects:
Differential equations, Nonlinear > Congresses.
quations diff rentielles non lin aires > Congr s.
MATHEMATICS > Differential Equations > General.
Mathematics.
Nonlinear partial differential operators > Congresses.
Op rateurs diff rentiels partiels non lin aires > Congr s.
Differential equations, Nonlinear.
Mathematics, other.
Mathematik.
Nonlinear partial differential operators.
Online Access: http://dx.doi.org/10.1515/9781400827794
http://www.degruyter.com/doc/cover/9781400827794.jpg
Summary: This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schr dinger operators, nonlinear Schr dinger and wave equations, and the Euler and Navier-Stokes equations.
Carrier Form: 1 online resource (312 pages) : illustrations.
ISBN: 9781400827794
Index Number: QA372
CLC: O175
Contents: Frontmatter --
Contents --
Preface --
Chapter 1. On Strichartz s Inequalities and the Nonlinear Schr dinger Equation on Irrational Tori /
Chapter 2. Diffusion Bound for a Nonlinear Schr dinger Equation /
Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws /
Chapter 4. Nonlinear Elliptic Equations with Measures Revisited /
Chapter 5. Global Solutions for the Nonlinear Schr dinger Equation on Three-Dimensional Compact Manifolds /
Chapter 6. Power Series Solution of a Nonlinear Schr dinger Equation /
Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection /
Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres /
Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations /
Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data /
Chapter 11. Longtime Decay Estimates for the Schr dinger Equation on Manifolds /
Contributors --
Index.

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