| 書目名稱 | Pseudodifferential Operators and Nonlinear PDE | | 編輯 | Michael E. Taylor | | 視頻video | http://file.papertrans.cn/763/762526/762526.mp4 | | 叢書名稱 | Progress in Mathematics | | 圖書封面 |  | | 描述 | .For the past 25 years the theory of pseudodifferential operators has played an important role in many exciting and deep investigations into linear PDE. Over the past decade, this tool has also begun to yield interesting results in nonlinear PDE. This book is devoted to a summary and reconsideration of some used of pseudodifferential operator techniques in nonlinear PDE...One goal has been to build a bridge between two approaches which have been used in a number of papers written in the last decade, one being the theory of paradifferential operators, pioneered by Bony and Meyer, the other the study of pseudodifferential operators whose symbols have limited regularity. The latter approach is a natural successor to classical devices of deriving estimates for linear PDE whose coefficients have limited regularity in order to obtain results in nonlinear PDE...After developing the requisite tools, we proceed to demonstrate their effectiveness on a range of basic topics in nonlinear PDE. For example, for hyperbolic systems, known sufficient conditions for persistence of solutions are both sharpened and extended in scope. In the treatment of parabolic equations and elliptic boundary proble | | 出版日期 | Book 1991 | | 關(guān)鍵詞 | Operator; Sobolev space; calculus; geometry; hyperbolic equation; linear optimization; operator algebra; pa | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-0431-2 | | isbn_softcover | 978-0-8176-3595-4 | | isbn_ebook | 978-1-4612-0431-2Series ISSN 0743-1643 Series E-ISSN 2296-505X | | issn_series | 0743-1643 | | copyright | Birkh?user Boston 1991 |
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