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Invariant Measures for Stochastic Nonlinear Schroedinger Equations

of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi;

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Stochastic Partial Differential Equations

invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite;

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Exact Solutions and Invariant Subspaces of Nonlinear Partial Differential Equations in Mechanics and Physics

systematic construction of exact solutions via linear invariant subspaces for nonlinear differential operators. Acting as a guide to nonlinear;

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Nonlinear Analysis and Global Optimization

, Schroedinger equations in nonlinear optics, exponentially convex functions, optimal lot size under the occurrence of imperfect quality items;

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Nonlinear Fractional Schroedinger Equations in R^N

investigates the existence, multiplicity and qualitative properties of solutions for fractional Schroedinger equations by applying suitable variational;

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Defocusing Nonlinear Schroedinger Equations

equations. This book is suitable as the basis for a one-semester course, and serves as a useful introduction to nonlinear Schroedinger equations for;

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Applications of Lie Groups to Difference Equations

difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference;

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Applications of Lie Groups to Difference Equations

difference schemes for nonlinear differential equations. A guide to methods and results in a new area of application of Lie groups to difference;

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Harmonic Analysis Method For Nonlinear Evolution Equations, I

This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schroedinger equations;

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Handbook of Exact Solutions to the Nonlinear Schroedinger Equations

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Handbook of Exact Solutions to the Nonlinear Schroedinger Equations

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Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference;

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Nonlinear Analysis and Applications

order parabolic equations, invariant measures, superlinear problems, and operator equations.;

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Backward Stochastic Differential Equations

serve as a textbook for a two-semester graduate course in probability theory and stochastic analysis. It is also accessible for graduate;

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Semi-classical Analysis For Nonlinear Schrodinger Equations

These lecture notes review recent results on the high-frequency analysis of nonlinear Schroedinger equations in the presence of an external;

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Stochastic Partial Differential Equations and Applications - VII

for researchers in pure and applied mathematics. Coverage includes Navier-Stokes equations, Ornstein-Uhlenbeck semigroups, quantum stochastic;

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Variance-Constrained Multi-Objective Stochastic Control and Filtering

phenomena. It establishes a unified theoretical framework for control and filtering problems for a class of discrete-time nonlinear stochastic;

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Nonlinear Partial Differential Equations

, Boltzmann equation, and critical dispersive nonlinear Schroedinger and wave equations. The book describes in a careful and expository manner several;

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Understanding the Schroedinger Equation

is generally of a theoretical nature; expounding various physical aspects of both linear and nonlinear Schroedinger systems and their attendant;

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Variational Methods in Nonlinear Field Equations

authors apply this theory to prove the existence of hylomorphic solitons for some classes of field equations (nonlinear Klein-Gordon-Maxwell;

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Variational, Topological, and Partial Order Methods with Their Applications

, which have been used extensively to solve existence of solutions for elliptic equations, wave equations, Schroedinger equations, Hamiltonian;

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Localization In Periodic Potentials

the existence and stability of localized modes. The mean-field model is simplified further to the coupled nonlinear Schroedinger equations;

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Three Classes Of Nonlinear Stochastic Partial Differential Equations

interesting nonlinear stochastic partial differential equations (SPDEs) were derived. Due to the nonlinearity and the non-Lipschitz continuity;

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Lectures On The Theory Of Group Properties Of Differential Equations

contains material that is useful for students and teachers but cannot be found in modern texts. For example, the theory of partially invariant;

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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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Selected Topics of Invariant Measures in Polish Groups

This book explores a number of new applications of invariant quasi-finite diffused Borel measures in Polish groups for a solution;

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Nonlinear Stochastic Control and Filtering with Engineering-Oriented Complexities

Nonlinear Stochastic Control and Filtering with Engineering-oriented Complexities presents a series of control and filtering approaches for;

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