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 Regularity For The Yang Mills Equations On High Dimensional Minkowski Space
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Author : Joachim Krieger
language : en
Publisher:
Release Date : 2013
Global Regularity For The Yang Mills Equations On High Dimensional Minkowski Space written by Joachim Krieger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Generalized spaces categories.
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 $\mathbb{R}^n$, the authors present a detailed proof of regularity properties of the composition of $H^s$-regular diffeomorphisms of $M$ for $s >\frac{1}{2}\dim M+1$.
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.
Near Soliton Evolution For Equivariant Schr Dinger Maps In Two Spatial Dimensions Ioan Bejenaru University Of California San Diego La Jolla Ca And Daniel Tataru University Of California Berkeley Berkeley Ca
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Author : Ioan Bejenaru
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Near Soliton Evolution For Equivariant Schr Dinger Maps In Two Spatial Dimensions Ioan Bejenaru University Of California San Diego La Jolla Ca And Daniel Tataru University Of California Berkeley Berkeley Ca 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.
Operator Theory Operator Algebras And Applications
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Author : Alejandro D. de Acosta
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-03-05
Operator Theory Operator Algebras And Applications 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.