04369nam 2200721 a 450 991045434460332120200520144314.01-282-12960-097866121296051-4008-2779-510.1515/9781400827794(CKB)1000000000756229(EBL)445416(OCoLC)368362893(SSID)ssj0000199065(PQKBManifestationID)11204103(PQKBTitleCode)TC0000199065(PQKBWorkID)10187942(PQKB)11772726(MiAaPQ)EBC445416(DE-B1597)446772(OCoLC)979578804(DE-B1597)9781400827794(PPN)199245118(Au-PeEL)EBL445416(CaPaEBR)ebr10284196(CaONFJC)MIL212960(EXLCZ)99100000000075622920060816d2007 uy 0engur|n|---|||||txtccrMathematical aspects of nonlinear dispersive equations[electronic resource] /Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editorsCourse BookPrinceton Princeton University Press20071 online resource (309 p.)Annals of mathematics studies ;no. 163Description based upon print version of record.0-691-12860-X 0-691-12955-X Includes bibliographical references and index. Frontmatter -- Contents -- Preface -- Chapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori / Bourgain, J. -- Chapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation / Bourgain, J. / Wang, W.-M. -- Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws / Bressan, A. / Baiti, P. / Jenssen, H. K. -- Chapter 4. Nonlinear Elliptic Equations with Measures Revisited / Brezis, H. / Marcus, M. / Ponce, A. C. -- Chapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds / Burq, N. / Gérard, P. / Tzvetkov, N. -- Chapter 6. Power Series Solution of a Nonlinear Schrödinger Equation / Christ, M. -- Chapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection / Constantin, P. -- Chapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres / Delort, J.-M. / Szeftel, J. -- Chapter 9. Local and Global Wellposedness of Periodic KP-I Equations / Ionescu, A. D. / Kenig, C. E. -- Chapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data / Giga, Y. / Mahalov, A. / Nicolaenko, B. -- Chapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds / Rodnianski, I. / Tao, T. -- Contributors -- IndexThis 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, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.Annals of mathematics studies ;no. 163.Differential equations, NonlinearCongressesNonlinear partial differential operatorsCongressesElectronic books.Differential equations, NonlinearNonlinear partial differential operators515/.355SI 830rvkBourgain Jean1954-56557Kenig Carlos E.1953-60583Klainerman Sergiu1950-48535MiAaPQMiAaPQMiAaPQBOOK9910454344603321Mathematical aspects of nonlinear dispersive equations2454535UNINA