| Description |
1 online resource (vi, 300 pages) : illustrations |
| Series |
Annals of mathematics studies ; no. 163 |
|
Annals of mathematics studies ; no. 163.
|
| Contents |
On Strichartz's inequalities and the nonlinear Schrödinger equation on irrational Tori / J. Bourgain -- Diffusion bound for a nonlinear Schrödinger equation / J. Bourgain and W.M. Wang -- Instability of finite difference schemes for hyperbolic conservation laws / A. Bressan, P. Baiti, and H.K. Jenssen -- Nonlinear elliptic equations with measures revisited / H. Brezis, M. Marcus, and A.C. Ponce -- Global solutions for the nonlinear Schrodinger equation on three-dimensional compact manifolds / N. Burq, P. Gérard, and N. Tzvetkov -- Power series solution of a nonlinear Schrödinger equation / M. Christ -- Eulerian-Lagrangian formalism and vortex reconnection / P. Constantin -- Long time existence for small data semilinear Klein-Gordon equations on spheres / J.M. Delort and J. Szeftel -- Local and global wellposedness of periodic KP-I equations / A.D. Ionescu and C.E. Kenig -- The cauchy problem for the Navier-Stokes equations with spatially almost periodic initial data / Y. Giga, A. Mahalov, and B. Nicolaenko -- Longtime decay estimates for the Schrödinger equation on manifolds / I. Rodnianski and T. Tao -- Dispersive estimates for Schrodinger operators : a survey / W. Schlag |
| 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, Schrodinger operators |
| Bibliography |
Includes bibliographical references and index |
| Notes |
In English |
|
Print version record |
| Subject |
Differential equations, Nonlinear -- Congresses
|
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Nonlinear partial differential operators -- Congresses
|
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MATHEMATICS -- Differential Equations -- General.
|
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Differential equations, Nonlinear
|
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Nonlinear partial differential operators
|
| Genre/Form |
Conference papers and proceedings
|
| Form |
Electronic book
|
| Author |
Bourgain, Jean, 1954-2018.
|
|
Kenig, Carlos E., 1953-
|
|
Klainerman, Sergiu, 1950-
|
| ISBN |
9781400827794 |
|
1400827795 |
|
1282129600 |
|
9781282129603 |
|
9786612129605 |
|
6612129603 |
|
