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Recent advances in harmonic analysis and partial differential equations : [electronic resource] AMS special sessions, March 12-13, 2011, Statesboro, Georgia : the JAMI Conference, March 21-25, 2011, Baltimore, Maryland / Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang, Shijun Zheng, editors.

Contributor(s): Nahmod, Andrea R, 1964- [editor of compilation.] | American Mathematical Society [sponsoring body.] | JAMI Conference (2011 : Baltimore, Md.)Material type: Text

TextSeries: Contemporary mathematics ; v. 581Publisher: Providence, Rhode Island : American Mathematical Society, [2012]Description: 1 online resource (x, 285 pages : illustrations)Content type: text Media type: unmediated Carrier type: volumeISBN: 9780821894026 (online)Subject(s): Harmonic analysis -- Congresses | Differential equations, Partial -- Congresses | Harmonic analysis on Euclidean spaces -- Harmonic analysis in several variables -- Harmonic analysis and PDE | Partial differential equations -- Elliptic equations and systems -- Schr�odinger operator | Partial differential equations -- Parabolic equations and systems -- Initial-boundary value problems for higher-order parabolic systems | Partial differential equations -- Equations of mathematical physics and other areas of application -- NLS-like equations (nonlinear Schr�odinger) | Partial differential equations -- Hyperbolic equations and systems -- Nonlinear second-order hyperbolic equations | Global analysis, analysis on manifolds -- Partial differential equations on manifolds; differential operators -- Hyperbolic equations | Mechanics of deformable solids -- Waves -- Nonlinear waves | Fluid mechanics -- Incompressible viscous fluids -- Navier-Stokes equationsAdditional physical formats: Recent advances in harmonic analysis and partial differential equations :DDC classification: 515/.2433 LOC classification: QA403 | .R425 2012Other classification: 42B37 | 35J10 | 35K52 | 35Q55 | 35L70 | 58J45 | 74J30 | 76D05 Online resources: Contents | Contents

Contents:

The defocusing cubic nonlinear wave equation in the energy-supercritical regime / Aynur Bulut -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11537 Stein's extension operator on weighted Sobolev spaces on Lipschitz domains and applications to interpolation / Kevin Brewster, Irina Mitrea and Marius Mitrea -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11535 Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy / T. Chen, N. Pavlovi�c and N. Tzirakis -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11491 Elementary Proofs for Kato Smoothing Estimates of Schr�odinger-like Dispersive Equations / Xuwen Chen -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11487 The conormal derivative problem for higher order elliptic systems with irregular coefficients / Hongjie Dong and Doyoon Kim -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11534 Localization of eigenfunctions of a one-dimensional elliptic operator / Marcel Filoche, Svitlana Mayboroda and Brandon Patterson -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11498 Scattering and blow up for the two-dimensional focusing quintic nonlinear Schr�odinger equation / Cristi Guevara and Fernando Carreon -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11490 Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study / Christian Klein and Christof Sparber -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11493 Time Decay for the Solutions of a Fourth-Order Nonlinear Schr�odinger Equation / Jeng-Eng Lin -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11532 Self-adjoint realizations of Schr�odinger operators on vector bundles over Riemannian manifolds / Ognjen Milatovic -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11488 Spectral properties of the reflection operator in two dimensions / Irina Mitrea, Katharine Ott and Eric Stachura -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11538 Recent local and global solutions to the Lagrangian Averaged Navier-Stokes equation / Nathan Pennington -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11492 Recent works on the Strauss conjecture / Chengbo Wang and Xin Yu -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11497 Wave operators for nonlinear wave equations with null structures / Dong Li and Xiaoyi Zhang -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11536 Fractional regularity for nonlinear Schr�odinger equations with magnetic fields / Shijun Zheng -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11533

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Includes bibliographical references.

The defocusing cubic nonlinear wave equation in the energy-supercritical regime / Aynur Bulut -- Stein's extension operator on weighted Sobolev spaces on Lipschitz domains and applications to interpolation / Kevin Brewster, Irina Mitrea and Marius Mitrea -- Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy / T. Chen, N. Pavlovi�c and N. Tzirakis -- Elementary Proofs for Kato Smoothing Estimates of Schr�odinger-like Dispersive Equations / Xuwen Chen -- The conormal derivative problem for higher order elliptic systems with irregular coefficients / Hongjie Dong and Doyoon Kim -- Localization of eigenfunctions of a one-dimensional elliptic operator / Marcel Filoche, Svitlana Mayboroda and Brandon Patterson -- Scattering and blow up for the two-dimensional focusing quintic nonlinear Schr�odinger equation / Cristi Guevara and Fernando Carreon -- Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study / Christian Klein and Christof Sparber -- Time Decay for the Solutions of a Fourth-Order Nonlinear Schr�odinger Equation / Jeng-Eng Lin -- Self-adjoint realizations of Schr�odinger operators on vector bundles over Riemannian manifolds / Ognjen Milatovic -- Spectral properties of the reflection operator in two dimensions / Irina Mitrea, Katharine Ott and Eric Stachura -- Recent local and global solutions to the Lagrangian Averaged Navier-Stokes equation / Nathan Pennington -- Recent works on the Strauss conjecture / Chengbo Wang and Xin Yu -- Wave operators for nonlinear wave equations with null structures / Dong Li and Xiaoyi Zhang -- Fractional regularity for nonlinear Schr�odinger equations with magnetic fields / Shijun Zheng --