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ICM 2002 Satellite Conference on Nonlinear Analysis was held in the period: August 14-18, 2002 at Taiyuan, Shanxi Province, China. This conference was organized by Mathematical School of Peking University, Academy of Mathematics and System Sciences of Chinese Academy of Sciences, Mathematical school of Nankai University, and Department of Mathematics of Shanxi University, and was sponsored by Shanxi Province Education Committee, Tian Yuan Mathematics Foundation, and Shanxi University.166 mathematicians from 21 countries and areas in the world attended the conference. 53 invited speakers and 30

Nonlinear functional analysis --- Nonlinear mechanics --- Topological dynamics --- Dynamics, Topological --- Differentiable dynamical systems --- Analyse fonctionnelle non linéaire --- Mécanique non linéaire --- Dynamique topologique --- Nonlinear functional analysis - Congresses --- Nonlinear mechanics - Congresses --- Topological dynamics - Congresses --- Analyse fonctionnelle non linéaire - Congrès --- Mécanique non linéaire - Congrès --- Dynamique topologique - Congrès

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Manifolds (Mathematics) --- Sobolev spaces. --- Mathematical analysis. --- 517.1 Mathematical analysis --- Mathematical analysis --- Spaces, Sobolev --- Function spaces --- Geometry, Differential --- Topology --- Espais de Sobolev --- Espais funcionals

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This 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.

Differential equations, Nonlinear --- Nonlinear partial differential operators --- Nonlinear operators --- Partial differential operators --- Absolute value. --- Addition. --- Analysis. --- Analytical technique. --- Average. --- Commutator. --- Conservation law. --- Continuous spectrum. --- Critical focus. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Equation. --- Exponential decay. --- Fourier transform. --- Lecture. --- Manifold. --- Medium frequency. --- Nature. --- Navier–Stokes equations. --- Nonlinear system. --- Scattering theory. --- Sloan Fellowship. --- Spectral method. --- Subset. --- Support (mathematics). --- Theory. --- Three-dimensional space (mathematics). --- Volume. --- Wave equation.