Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space write by Joachim Krieger. This book was released on 2013-04-22. Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space available in PDF, EPUB and Kindle. 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
Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space write by Joachim Krieger. This book was released on 2013. Global Regularity for the Yang-Mills Equations on High Dimensional Minkowski Space available in PDF, EPUB and Kindle.
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces
Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces write by David Dos Santos Ferreira. This book was released on 2014-04-07. Global and Local Regularity of Fourier Integral Operators on Weighted and Unweighted Spaces available in PDF, EPUB and Kindle. 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
On the Regularity of the Composition of Diffeomorphisms - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook On the Regularity of the Composition of Diffeomorphisms write by H. Inci. This book was released on 2013-10-23. On the Regularity of the Composition of Diffeomorphisms available in PDF, EPUB and Kindle. 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
Relative Equilibria in the 3-Dimensional Curved $n$-Body Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Relative Equilibria in the 3-Dimensional Curved $n$-Body Problem write by Florin Diacu. This book was released on 2014-03-05. Relative Equilibria in the 3-Dimensional Curved $n$-Body Problem available in PDF, EPUB and Kindle. 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 ?
