Global regularity for the Yang-Mills equations on high dimensional Minkowski space /
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| Author / Creator: | Krieger, Joachim, 1976- |
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| Imprint: | Providence, Rhode Island : American Mathematical Society, 2013. |
| Description: | v, 99 pages ; 26 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; no. 1047 Memoirs of the American Mathematical Society ; no. 1047. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/9793902 |
| Summary: | 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 H˙(n−4)/2A. Regularity is obtained through a certain ""microlocal geometric renormalization"" of the equations which is implemented via a family of approximate null Crönstrom gauge transformations. The argument is then reduced to controlling some degenerate elliptic equations in high index and non-isotropic Lp spaces, and also proving some bilinear estimates in specially constructed square-function spaces. |
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| Item Description: | "May 2013, volume 223, number 1047 (first of 5 numbers)." |
| Physical Description: | v, 99 pages ; 26 cm. |
| Bibliography: | Includes bibliographical references (page 99). |
| ISBN: | 9780821844892 082184489X |
| ISSN: | 0065-9266 ; |
