书目名称 | Variational Methods |
副标题 | Applications to Nonl |
编辑 | Michael Struwe |
视频video | |
概述 | Gives a concise introduction to the field of Variational Methods and presents an overview of areas of current research in this field.It is a valuable source of reference for advanced students and rese |
丛书名称 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathemati |
图书封面 |  |
描述 | .Hilbert‘s talk at the second International Congress of 1900 in Paris marked the beginning of a new era in the calculus of variations. A development began which, within a few decades, brought tremendous success, highlighted by the 1929 theorem of Ljusternik and Schnirelman on the existence of three distinct prime closed geodesics on any compact surface of genus zero, and the 1930/31 solution of Plateau‘s problem by Douglas and Radó. The book gives a concise introduction to variational methods and presents an overview of areas of current research in the field. ..The fourth edition gives a survey on new developments in the field. In particular it includes the proof for the convergence of the Yamabe flow and a detailed treatment of the phenomenon of blow-up. Also the recently discovered results for backward bubbling in the heat flow for harmonic maps or surfaces are discussed. Aside from these more significant additions, a number of smaller changes throughout the text have been made and the references have been updated.. |
出版日期 | Book 2008Latest edition |
关键词 | Calculus of Variations; Hamiltonian Systems; Mathematical Physics; Partial Differential Equations; Plate |
版次 | 4 |
doi | https://doi.org/10.1007/978-3-540-74013-1 |
isbn_softcover | 978-3-642-09329-6 |
isbn_ebook | 978-3-540-74013-1Series ISSN 0071-1136 Series E-ISSN 2197-5655 |
issn_series | 0071-1136 |
copyright | Springer-Verlag Berlin Heidelberg 2008 |