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Extended States for the Schrodinger Operator with Quasi-Periodic Potential in Dimension Two

The authors consider a Schrodinger operator $H=-Delta +V(vec x)$ in dimension two with a quasi-periodic potential $V(vec x)$. They prove;

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Non-self-adjoint Schroedinger Operator with a Periodic Potential

This book gives a complete spectral analysis of the non-self-adjoint Schroedinger operator with a periodic complex-valued potential;

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Focus on Evolution Equations

parabolic equations, abstract differential equations, comments on the Schrodinger equation, solutions in banach spaces, periodic and quasi-periodic;

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Trends in Evolution Equation Research

equations as well as their further applications. Equations dealing with the asymptotic behaviour of solutions to evolution equations are included;

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Leading-Edge Research on Evolution Equations

as their further applications. Equations dealing with the asymptotic behavior of solutions to evolution equations are included. The book also;

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Quasi-periodic Standing Wave Solutions of Gravity-Capillary Water Waves

The authors prove the existence and the linear stability of small amplitude time quasi-periodic standing wave solutions (i.e. periodic and;

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Green's Function Estimates for Lattice Schroedinger Operators and Applications. (AM-158)

This book presents an overview of recent developments in the area of localization for quasi-periodic lattice Schrodinger operators and the;

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The Inverse Problem of the Schrodinger Equation in the Plane

. Given two potentials which give the same boundary data there is a weighted orthogonality relation for the solutions of the two Schrodinger;

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Operator Theory, Operator Algebras and Applications

integral operators with shifts; pseudodifferential operators, factorization of almost periodic matrix functions; inequalities; Cauchy type;

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Spectral Invariants With Bulk, Quasi-Morphisms and Lagrangian Floer Theory

of periodic Hamiltonian system to connect spectral invariants (with bulk deformation), symplectic quasi-states, quasi-morphism to the Lagrangian Floer;

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Critical Parabolic-Type Problems

This self-contained book covers the theory of semilinear equations with sectorial operator going back to the studies of Yosida, Henry, and;

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An Empirical Study of Periodic noise filtering in Fourier domain

Quasi periodic noise or moire patterns are one of the complex noise models that are responsible for the various errors in X-ray imaging and;

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Photonic Crystals

. They exhibit optical frequency band gaps in analogy to electronic bands for a periodic potential of a semiconductor crystal lattice. The;

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Toward Analytical Chaos in Nonlinear Systems

systematically presents a new approach to analytically determine periodic flows to chaos or quasi-periodic flows in nonlinear dynamical systems with;

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Almost Periodic Functions

of almost periodic functions during the 1920s. His groundbreaking work influenced many later mathematicians, who extended the theory in new and;

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Studies in Mathematical Physics - Essays in Honor of Valentine Bargmann

Relations to Sobolev Inequalities (Elliott H. Lieb and Walter Thirriny); On the Number of Bound States of Two Body Schrodinger Operators (Barry;

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Studies in Mathematical Physics - Essays in Honor of Valentine Bargmann

Relations to Sobolev Inequalities (Elliott H. Lieb and Walter Thirriny); On the Number of Bound States of Two Body Schrodinger Operators (Barry;

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Mathematical Theory in Periodic Plane Elasticity

of such problems are proposed under the assumption that the stresses are periodic and the displacements are quasi-periodic. The general expression;

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The Human Rights Council: The Impact of the Universal Periodic Review in Africa

This book examines the engagement of African states with the United Nations Human Rights Council's Universal Periodic Review (UPR;

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Small Divisor Problem in the Theory of Three-dimensional Water Gravity Waves

resulting from the nonlinear interaction of two simply periodic traveling waves making an angle 2[theta] between them. Denoting by [mu] = gL/c2 the;

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Universal Periodic Review of Human Rights

mechanism with huge potential and which promotes dialogue and a level playing field for all countries undergoing the review of their human rights;

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Physics of Long-Range Interacting Systems

This book deals with an important class of many-body systems: those where the interaction potential decays slowly for large inter-particle;

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Semi-classical Analysis For Nonlinear Schrodinger Equations

potential. The book consists of two relatively independent parts: WKB analysis, and caustic crossing. In the first part, the basic linear WKB theory;

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Spectral Analysis Of Differential Operators

periodic Schroedinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals).The book is based on results;

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Global Regularity for 2D Water Waves with Surface Tension

The authors consider the full irrotational water waves system with surface tension and no gravity in dimension two (the capillary waves;

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Introduction to Linear Operator Theory

theorems for classes of operators containing the quasi-compact operators. It discusses various classes of operators connected with the numerical;

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Almost Periodic and Almost Automorphic Solutions to Integro-Differential Equations

degenerate in time, and in particular equations whose solutions are governed by (degenerate) solution operator families with removable singularities;

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