LEADER 04369nam 2200721 a 450 001 9910454344603321 005 20200520144314.0 010 $a1-282-12960-0 010 $a9786612129605 010 $a1-4008-2779-5 024 7 $a10.1515/9781400827794 035 $a(CKB)1000000000756229 035 $a(EBL)445416 035 $a(OCoLC)368362893 035 $a(SSID)ssj0000199065 035 $a(PQKBManifestationID)11204103 035 $a(PQKBTitleCode)TC0000199065 035 $a(PQKBWorkID)10187942 035 $a(PQKB)11772726 035 $a(MiAaPQ)EBC445416 035 $a(DE-B1597)446772 035 $a(OCoLC)979578804 035 $a(DE-B1597)9781400827794 035 $a(PPN)199245118 035 $a(Au-PeEL)EBL445416 035 $a(CaPaEBR)ebr10284196 035 $a(CaONFJC)MIL212960 035 $a(EXLCZ)991000000000756229 100 $a20060816d2007 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aMathematical aspects of nonlinear dispersive equations$b[electronic resource] /$fJean Bourgain, Carlos E. Kenig, and S. Klainerman, editors 205 $aCourse Book 210 $aPrinceton $cPrinceton University Press$d2007 215 $a1 online resource (309 p.) 225 1 $aAnnals of mathematics studies ;$vno. 163 300 $aDescription based upon print version of record. 311 $a0-691-12860-X 311 $a0-691-12955-X 320 $aIncludes bibliographical references and index. 327 $t Frontmatter -- $tContents -- $tPreface -- $tChapter 1. On Strichartz's Inequalities and the Nonlinear Schrödinger Equation on Irrational Tori / $rBourgain, J. -- $tChapter 2. Diffusion Bound for a Nonlinear Schrödinger Equation / $rBourgain, J. / Wang, W.-M. -- $tChapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws / $rBressan, A. / Baiti, P. / Jenssen, H. K. -- $tChapter 4. Nonlinear Elliptic Equations with Measures Revisited / $rBrezis, H. / Marcus, M. / Ponce, A. C. -- $tChapter 5. Global Solutions for the Nonlinear Schrödinger Equation on Three-Dimensional Compact Manifolds / $rBurq, N. / Gérard, P. / Tzvetkov, N. -- $tChapter 6. Power Series Solution of a Nonlinear Schrödinger Equation / $rChrist, M. -- $tChapter 7. Eulerian-Lagrangian Formalism and Vortex Reconnection / $rConstantin, P. -- $tChapter 8. Long Time Existence for Small Data Semilinear Klein-Gordon Equations on Spheres / $rDelort, J.-M. / Szeftel, J. -- $tChapter 9. Local and Global Wellposedness of Periodic KP-I Equations / $rIonescu, A. D. / Kenig, C. E. -- $tChapter 10. The Cauchy Problem for the Navier-Stokes Equations with Spatially Almost Periodic Initial Data / $rGiga, Y. / Mahalov, A. / Nicolaenko, B. -- $tChapter 11. Longtime Decay Estimates for the Schrödinger Equation on Manifolds / $rRodnianski, I. / Tao, T. -- $tContributors -- $tIndex 330 $aThis collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations. 410 0$aAnnals of mathematics studies ;$vno. 163. 606 $aDifferential equations, Nonlinear$vCongresses 606 $aNonlinear partial differential operators$vCongresses 608 $aElectronic books. 615 0$aDifferential equations, Nonlinear 615 0$aNonlinear partial differential operators 676 $a515/.355 686 $aSI 830$2rvk 701 $aBourgain$b Jean$f1954-$056557 701 $aKenig$b Carlos E.$f1953-$060583 701 $aKlainerman$b Sergiu$f1950-$048535 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910454344603321 996 $aMathematical aspects of nonlinear dispersive equations$92454535 997 $aUNINA