| 書目名稱 | Lectures on Nonlinear Evolution Equations | | 副標題 | Initial Value Proble | | 編輯 | Reinhard Racke | | 視頻video | http://file.papertrans.cn/584/583549/583549.mp4 | | 叢書名稱 | Aspects of Mathematics | | 圖書封面 |  | | 描述 | The book in hand is based on lectures which were given at the University of Bonn in the winter semesters of 1989/90 and 1990/91. The aim of the lectures was to present an elementary, self-contained introduction into some important aspects of the theory of global, small, smooth solutions to initial value problems for non linear evolution equa- tions. The addressed audience included graduate students of both mathematics and physics who were only assumed to have abasie knowledge of linear partial differential equations. Thus, in the spirit of the underlying series, this book is intended to serve as a detailed basis for lectures on the subject as weIl as for self-studies for students or for other newcomers to this field. The presentation of the theory is made using the classical method of continuation of local solutions with the help of apriori estimates obtained for small data. The corre- sponding global existence theorems have been proved mainly in the last decade, focussing on fully nonlinear systems; Related questions concerning large data problems, the ex- istence of weak solutions or the analysis of &.hock waves are not discussed. Also the question of optimal regularity assumptio | | 出版日期 | Book 19921st edition | | 關鍵詞 | a priori estimates; equation; evolution; global solutions; hyperbolic system; initial value problems; inte | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-663-10629-6 | | isbn_softcover | 978-3-663-10631-9 | | isbn_ebook | 978-3-663-10629-6Series ISSN 0179-2156 | | issn_series | 0179-2156 | | copyright | Springer Fachmedien Wiesbaden 1992 |
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