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Semi-classical Analysis For Nonlinear Schrodinger Equations

consequences concerning instability phenomena. Applications of WKB analysis to functional analysis, in particular to the Cauchy problem for nonlinear;

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Mathematical Aspects of Nonlinear Dispersive Equations (AM-163)

laws, Schrodinger operators, nonlinear Schrodinger and wave equations, and the Euler and Navier-Stokes equations.;

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Mathematical Aspects of Nonlinear Dispersive Equations (AM-163)

laws, Schrodinger operators, nonlinear Schrodinger and wave equations, and the Euler and Navier-Stokes equations.;

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Microlocal Analysis and Spectral Theory

theory (Schrodinger equation, asymptotic behavior of the eigenvalues, semi-classical analysis in large dimensions and statistical mechanics).;

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Wigner Measure and Semiclassical Limits of Nonlinear Schrodinger Equations

This book is based on a course entitled 'Wigner measures and semiclassical limits of nonlinear Schrodinger equations,' which the author;

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Nonlinear Second Order Elliptic Equations Involving Measures

In the last 40 years semi-linear elliptic equations became a central subject of study in the theory of nonlinear partial differential;

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Advanced Numerical and SemiAnalytical Methods for Differential Equations

Examines numerical and semi-analytical methods for differential equations that can be used for solving practical ODEs and PDEs This;

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Discrete And Continuous Nonlinear Schrodinger Systems

and discrete nonlinear Schroedinger equations of scalar and vector type. Also included is the IST for the Toda lattice and nonlinear ladder;

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Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schrodinger Equations

Blow-up for Higher-Order Parabolic, Hyperbolic, Dispersion and Schroedinger Equations shows how four types of higher-order nonlinear;

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Leading-Edge Research on Evolution Equations

This book presents high-quality research from around the world on the theory and methods of linear or nonlinear evolution equations as well;

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Harmonic Analysis Method For Nonlinear Evolution Equations, I

problem for those equations is systematically studied by using the harmonic analysis methods.This book is self-contained and may also be used as;

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Semiclassical Soliton Ensembles for the Focusing Nonlinear Schroedinger Equation (AM-154)

systems, and Deift and Zhou's nonlinear Steepest-Descent/Stationary Phase method for the analysis of Riemann-Hilbert problems. In particular, they;

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Analysis And Differential Equations

unicity of the solutions for linear differential equations on real and complex spaces and for nonlinear differential equations defined by locally;

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Surveys in Applied Mathematics

analyzes nonlinear front propagation for a large class of semi-linear partial differential equations using probabilistic methods. Particle and Wave;

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Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse;

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Computational Mathematics and Variational Analysis

analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner;

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Nonlinear Waves in Fluids

importance of such universal concepts as group velocity and wave superposition. For nonlinear waves the last few decades have seen the emergence;

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Chaos And Integrability In Nonlinear Dynamics

Presents the newer field of chaos in nonlinear dynamics as a natural extension of classical mechanics as treated by differential equations;

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Group-Theoretic Methods in Mechanics and Applied Mathematics

Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this;

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Group-Theoretic Methods in Mechanics and Applied Mathematics

Group analysis of differential equations has applications to various problems in nonlinear mechanics and physics. For the first time, this;

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Applications of Differential Equations in Engineering and Mechanics

, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations;

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Applications of Differential Equations in Engineering and Mechanics

, nonlinear buckling, transports and waves in fluids, geophysical fluid flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations;

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Differential Equations in Engineering and Mechanics

flows, nonlinear waves and solitons, Maxwell equations, Schrodinger equations, celestial mechanics and fracture mechanics and dynamics. The;

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Algebraic Approaches to Partial Differential Equations

equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations in geophysics, the;

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Hamilton-Jacobi-Bellman Equations

, high-order methods, boundary treatment in semi-Lagrangian schemes, reduced basis methods, comparison principles for viscosity solutions, max;

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Invariant Measures for Stochastic Nonlinear Schroedinger Equations

methods for stochastic nonlinear Schroedinger equations. This book will appeal to researchers who are interested in numerical analysis;

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Introduction to Quantum Electronics and Nonlinear Optics

of this field. The book takes the semi-classical approach where light is treated as a wave in accordance with the classical Maxwell equations;

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