Recent advances in harmonic analysis and partial differential equations : AMS special sessions, March 12-13, 2011, Statesboro, Georgia : the JAMI Conference, March 21-25, 2011, Baltimore, Maryland / [electronic resource]
Andrea R. Nahmod, Christopher D. Sogge, Xiaoyi Zhang, Shijun Zheng, editors.
- 1 online resource (x, 285 pages : illustrations)
- Contemporary mathematics, v. 581 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references.
The defocusing cubic nonlinear wave equation in the energy-supercritical regime / Stein's extension operator on weighted Sobolev spaces on Lipschitz domains and applications to interpolation / Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy / Elementary Proofs for Kato Smoothing Estimates of Schr�odinger-like Dispersive Equations / The conormal derivative problem for higher order elliptic systems with irregular coefficients / Localization of eigenfunctions of a one-dimensional elliptic operator / Scattering and blow up for the two-dimensional focusing quintic nonlinear Schr�odinger equation / Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study / Time Decay for the Solutions of a Fourth-Order Nonlinear Schr�odinger Equation / Self-adjoint realizations of Schr�odinger operators on vector bundles over Riemannian manifolds / Spectral properties of the reflection operator in two dimensions / Recent local and global solutions to the Lagrangian Averaged Navier-Stokes equation / Recent works on the Strauss conjecture / Wave operators for nonlinear wave equations with null structures / Fractional regularity for nonlinear Schr�odinger equations with magnetic fields / Aynur Bulut -- Kevin Brewster, Irina Mitrea and Marius Mitrea -- T. Chen, N. Pavlovi�c and N. Tzirakis -- Xuwen Chen -- Hongjie Dong and Doyoon Kim -- Marcel Filoche, Svitlana Mayboroda and Brandon Patterson -- Cristi Guevara and Fernando Carreon -- Christian Klein and Christof Sparber -- Jeng-Eng Lin -- Ognjen Milatovic -- Irina Mitrea, Katharine Ott and Eric Stachura -- Nathan Pennington -- Chengbo Wang and Xin Yu -- Dong Li and Xiaoyi Zhang -- Shijun Zheng -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11537 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11535 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11491 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11487 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11534 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11498 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11490 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11493 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11532 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11488 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11538 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11492 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11497 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11536 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11533
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821894026 (online)
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 equations.
QA403 / .R425 2012
515/.2433
Includes bibliographical references.
The defocusing cubic nonlinear wave equation in the energy-supercritical regime / Stein's extension operator on weighted Sobolev spaces on Lipschitz domains and applications to interpolation / Multilinear Morawetz identities for the Gross-Pitaevskii hierarchy / Elementary Proofs for Kato Smoothing Estimates of Schr�odinger-like Dispersive Equations / The conormal derivative problem for higher order elliptic systems with irregular coefficients / Localization of eigenfunctions of a one-dimensional elliptic operator / Scattering and blow up for the two-dimensional focusing quintic nonlinear Schr�odinger equation / Transverse stability of periodic traveling waves in Kadomtsev-Petviashvili equations: A numerical study / Time Decay for the Solutions of a Fourth-Order Nonlinear Schr�odinger Equation / Self-adjoint realizations of Schr�odinger operators on vector bundles over Riemannian manifolds / Spectral properties of the reflection operator in two dimensions / Recent local and global solutions to the Lagrangian Averaged Navier-Stokes equation / Recent works on the Strauss conjecture / Wave operators for nonlinear wave equations with null structures / Fractional regularity for nonlinear Schr�odinger equations with magnetic fields / Aynur Bulut -- Kevin Brewster, Irina Mitrea and Marius Mitrea -- T. Chen, N. Pavlovi�c and N. Tzirakis -- Xuwen Chen -- Hongjie Dong and Doyoon Kim -- Marcel Filoche, Svitlana Mayboroda and Brandon Patterson -- Cristi Guevara and Fernando Carreon -- Christian Klein and Christof Sparber -- Jeng-Eng Lin -- Ognjen Milatovic -- Irina Mitrea, Katharine Ott and Eric Stachura -- Nathan Pennington -- Chengbo Wang and Xin Yu -- Dong Li and Xiaoyi Zhang -- Shijun Zheng -- http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11537 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11535 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11491 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11487 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11534 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11498 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11490 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11493 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11532 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11488 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11538 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11492 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11497 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11536 http://www.ams.org/conm/581/ http://dx.doi.org/10.1090/conm/581/11533
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821894026 (online)
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 equations.
QA403 / .R425 2012
515/.2433