Basic Monotonicity Methods with Some Applications
著者
書誌事項
Basic Monotonicity Methods with Some Applications
（Compact textbooks in mathematics）
Birkhäuser, 2021
- : pbk.
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
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.
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