Mathematical aspects of nonlinear dispersive equations [[electronic resource] /] / Jean Bourgain, Carlos E. Kenig, and S. Klainerman, editors

• Pubblicazione: Princeton, : Princeton University Press, 2007
• Edizione: Course Book
• Descrizione fisica: 1 online resource (309 p.)
• Disciplina: 515/.355
• Soggetto topico: Differential equations, Nonlinear; Nonlinear partial differential operators
• Soggetto non controllato: Absolute value; Addition; Analysis; Analytical technique; Average; Commutator; Conservation law; Continuous spectrum; Critical focus; Eigenfunction; Eigenvalues and eigenvectors; Equation; Exponential decay; Fourier transform; Lecture; Manifold; Medium frequency; Nature; Navier–Stokes equations; Nonlinear system; Scattering theory; Sloan Fellowship; Spectral method; Subset; Support (mathematics); Theory; Three-dimensional space (mathematics); Volume; Wave equation
• Classificazione: SI 830
• Altri autori: BourgainJean <1954-> KenigCarlos E. <1953-> KlainermanSergiu <1950->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: 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 -- Index
• Sommario/riassunto: 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, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.
• Titolo autorizzato: Mathematical aspects of nonlinear dispersive equations
• ISBN: 1-282-12960-0; 9786612129605; 1-4008-2779-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910777728603321
• Lo trovi qui: Univ. Federico II
• Serie: Annals of mathematics studies ; ; no. 163.