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Basic monotonicity methods with some applications [electronic resource]
- 作者: Galewski, Marek.
- 其他作者:
- 其他題名:
- Compact textbooks in mathematics.
- 出版: Cham : Springer International Publishing :Imprint: Birkhauser
- 叢書名: Compact textbooks in mathematics,
- 主題: Monotone operators. , Operator Theory. , Analysis.
- ISBN: 9783030753085 (electronic bk.) 、 9783030753078 (paper)
- FIND@SFXID: CGU
- 資料類型: 電子書
- 內容註: Preface -- Introduction to the topic of the course -- Some excerpts from functional analysis -- Monotone operators -- On the Fenchel-Young conjugate -- Potential operators -- Existence of solutions to abstract equations -- Normalized duality mapping -- On the Galerkin method -- Some selected applications.
- 摘要註: This textbook introduces some basic tools from the theory of monotone operators together with some of their applications. Examples that work for ordinary differential equations are provided. The illustrating material is kept relatively simple, while at the same time offering inspiring applications to the reader. The material will appeal to graduate students in mathematics who want to learn some basics in the theory of monotone operators. Furthermore, it offers a smooth transition to studying more advanced topics pertaining to more refined applications by shifting to pseudomonotone operators, and next, to multivalued monotone operators.
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讀者標籤:
- 系統號: 005549120 | 機讀編目格式