Nonlinear waves and dispersive equations (Q1780853)
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scientific article; zbMATH DE number 2175844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear waves and dispersive equations |
scientific article; zbMATH DE number 2175844 |
Statements
Nonlinear waves and dispersive equations (English)
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14 June 2005
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Contributions: -- Luis Vega (joint with Juan A. Barcelso and Alberto Ruiz), Some dispersive estimates for Schrödinger equations with repulsive potentials, p. 2657; -- Yoshio Tsutsumi (joint with Hideo Takaoka), Well-posedness of the Cauchy problem for the modiled KdV equation, p. 2660; -- Thomas Kappeler and Peter Topalov, Well-posedness of KdV on \(H^{-1}(T)\), p. 2662; -- Joachim Krieger and Jacob Sterbenz, Global regularity for the Yang-Mills equations on high dimensional Minkowski space, p. 2665; -- Gustavo Ponce (joint with C. E. Kenig and L. Vega), On almost parallel vortex filaments, p.~2668; -- Nicolas Burq (joint with Fabrice Planchon), Smoothing and dispersive estimates for 1D Schrödinger equations with BV coefficients and applications, p. 2670; -- Pierre Raphael (joint with Frank Merle), On the singularity formation for the \(L^2\) critical nonlinear Schrödinger equation, p. 2673; -- Benoît Perthame, Sobolev regularity for scalar conservation laws, p. 2676; -- Michael Christ (joint with Xiaochun Li, Terence Tao, Christoph Thiele), On multilinear oscillatory integrals, p. 2678; -- James Colliander, Mass concentration properties of rough blowup solutions of cubic NLS on \(\mathbb R^2\), p. 2681; -- Sijue Wu, Mathematical analysis of vortex sheet, p. 2684; -- Kenji Nakanishi, On the limit from the Klein-Gordon-Zakharov system to the nonlinear Schrödinger equation, p. 2686; -- Axel Gunrock, An improved local well-posedness result for the derivative nonlinear Schrödinger equation, p. 2689; -- Ana Vargas, Bilinear restriction theorems: the hyperbolic case, p. 2691; -- Yvan Martel, Construction of asymptotic \(N\)-soliton-like solutions of the generalized Korteweg-de Vries equations, p. 2694; -- Kotaro Tsugawa. Well-posedness of the KdV equations with low regularity forcing terms, p.~2697; -- Justin Holmer, Uniform estimates for the Zakharov system, p. 2700; -- Slim Ibrahim (joint with M. Majdoub and N. Masmoudi), Global solutions for a semi-linear 2D Klein-Gordon equation with exponential type nonlinearity, p. 2702; -- David Dos Santos Ferreira (joint with Alberto Ruiz), Unique continuation for the wave equation with time independent \(L^p\) potential, p. 2705; -- Christopher D. Sogge (joint with Hart Smith), \(L^p\) estimates for eigenfunctions in planar domains, p. 2707; -- Jean Ginibre (joint with Giorgio Velo), Long range scattering for the Maxwell-Schrödinger system, p.2713 -- Vladimir Georgiev (joint with Davide Catania), Blow up for the semilinear wave equation in Schwarzschild metric, p. 2715; -- Andrea R. Nahmod (joint with Carlos E. Kenig), The hyperbolic-elliptic Ishimori system, p.~2718; -- Markus Keel (joint with James Colliander, Gigliola Stanlani, Hideo Takaoka, Terence Tao), Global well-posedness and scattering for the energy-critical nonlinear Schrödinger equation in \(\mathbb R^3\), p. 2721.
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