Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space
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Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space
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Author : Joachim Krieger
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-04-22
Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space written by Joachim Krieger and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
This monograph contains a study of the global Cauchy problem for the Yang-Mills equations on $(6+1)$ and higher dimensional Minkowski space, when the initial data sets are small in the critical gauge covariant Sobolev space $\dot{H}_A^{(n-4)/{2}}$. Regularity is obtained through a certain ``microlocal geometric renormalization'' of the equations which is implemented via a family of approximate null Cronstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic $L^p$ spaces, and also proving some bilinear estimates in specially constructed square-function spaces.
Global And Local Regularity Of Fourier Integral Operators On Weighted And Unweighted Spaces
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Author : David Dos Santos Ferreira
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-04-07
Global And Local Regularity Of Fourier Integral Operators On Weighted And Unweighted Spaces written by David Dos Santos Ferreira and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-07 with Mathematics categories.
The authors investigate the global continuity on spaces with of Fourier integral operators with smooth and rough amplitudes and/or phase functions subject to certain necessary non-degeneracy conditions. In this context they prove the optimal global boundedness result for Fourier integral operators with non-degenerate phase functions and the most general smooth Hörmander class amplitudes i.e. those in with . They also prove the very first results concerning the continuity of smooth and rough Fourier integral operators on weighted spaces, with and (i.e. the Muckenhoupt weights) for operators with rough and smooth amplitudes and phase functions satisfying a suitable rank condition.
On The Regularity Of The Composition Of Diffeomorphisms
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Author : H. Inci
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-10-23
On The Regularity Of The Composition Of Diffeomorphisms written by H. Inci and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-23 with Mathematics categories.
For M a closed manifold or the Euclidean space Rn we present a detailed proof of regularity properties of the composition of Hs-regular diffeomorphisms of M for s > 12dimM+1.
Relative Equilibria In The 3 Dimensional Curved N Body Problem
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Author : Florin Diacu
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Relative Equilibria In The 3 Dimensional Curved N Body Problem written by Florin Diacu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
Considers the 3 -dimensional gravitational n -body problem, n32 , in spaces of constant Gaussian curvature k10 , i.e. on spheres S 3 ?1 , for ?>0 , and on hyperbolic manifolds H 3 ?1, for ?
Near Soliton Evolution For Equivariant Schrodinger Maps In Two Spatial Dimensions
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Author : Ioan Bejenaru
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Near Soliton Evolution For Equivariant Schrodinger Maps In Two Spatial Dimensions written by Ioan Bejenaru and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
The authors consider the Schrödinger Map equation in 2+1 dimensions, with values into \mathbb{S}^2. This admits a lowest energy steady state Q, namely the stereographic projection, which extends to a two dimensional family of steady states by scaling and rotation. The authors prove that Q is unstable in the energy space \dot H^1. However, in the process of proving this they also show that within the equivariant class Q is stable in a stronger topology X \subset \dot H^1.
Large Deviations For Additive Functionals Of Markov Chains
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Author : Alejandro D. de Acosta
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Large Deviations For Additive Functionals Of Markov Chains written by Alejandro D. de Acosta and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-05 with Mathematics categories.
Strange Attractors For Periodically Forced Parabolic Equations
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Author : Kening Lu
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-06-28
Strange Attractors For Periodically Forced Parabolic Equations written by Kening Lu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-28 with Mathematics categories.
The authors prove that in systems undergoing Hopf bifurcations, the effects of periodic forcing can be amplified by the shearing in the system to create sustained chaotic behavior. Specifically, strange attractors with SRB measures are shown to exist. The analysis is carried out for infinite dimensional systems, and the results are applicable to partial differential equations. Application of the general results to a concrete equation, namely the Brusselator, is given.
The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates
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Author : Robert J. Buckingham
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-08-23
The Sine Gordon Equation In The Semiclassical Limit Dynamics Of Fluxon Condensates written by Robert J. Buckingham and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08-23 with Mathematics categories.
The authors study the Cauchy problem for the sine-Gordon equation in the semiclassical limit with pure-impulse initial data of sufficient strength to generate both high-frequency rotational motion near the peak of the impulse profile and also high-frequency librational motion in the tails. They show that for small times independent of the semiclassical scaling parameter, both types of motion are accurately described by explicit formulae involving elliptic functions. These formulae demonstrate consistency with predictions of Whitham's formal modulation theory in both the hyperbolic (modulationally stable) and elliptic (modulationally unstable) cases.
Weighted Bergman Spaces Induced By Rapidly Increasing Weights
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Author : Jose Angel Pelaez
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08
Weighted Bergman Spaces Induced By Rapidly Increasing Weights written by Jose Angel Pelaez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.
This monograph is devoted to the study of the weighted Bergman space $A^p_\omega$ of the unit disc $\mathbb{D}$ that is induced by a radial continuous weight $\omega$ satisfying $\lim_{r\to 1^-}\frac{\int_r^1\omega(s)\,ds}{\omega(r)(1-r)}=\infty.$ Every such $A^p_\omega$ lies between the Hardy space $H^p$ and every classical weighted Bergman space $A^p_\alpha$. Even if it is well known that $H^p$ is the limit of $A^p_\alpha$, as $\alpha\to-1$, in many respects, it is shown that $A^p_\omega$ lies ``closer'' to $H^p$ than any $A^p_\alpha$, and that several finer function-theoretic properties of $A^p_\alpha$ do not carry over to $A^p_\omega$.
A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials
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Author : Florica C. Cîrstea
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-01-08
A Complete Classification Of The Isolated Singularities For Nonlinear Elliptic Equations With Inverse Square Potentials written by Florica C. Cîrstea and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-08 with Mathematics categories.
In particular, for b = 1 and λ = 0, we find a sharp condition on h such that the origin is a removable singularity for all non-negative solutions of [[eqref]]one, thus addressing an open question of Vázquez and Véron.