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Recent Advances in Harmonic Analysis and Partial Differential Equations

About this Title

Andrea R. Nahmod, University of Massachusetts, Amherst, Amherst, MA, Christopher D. Sogge, Johns Hopkins University, Baltimore, MD, Xiaoyi Zhang, University of Iowa, Iowa City, IA and Shijun Zheng, Georgia Southern University, Statesboro, GA, Editors

Publication: Contemporary Mathematics
Publication Year: 2012; Volume 581
ISBNs: 978-0-8218-6921-5 (print); 978-0-8218-9402-6 (online)
DOI: https://doi.org/10.1090/conm/581

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Table of Contents

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Front/Back Matter

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Articles

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