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Basic Monotonicity Methods with Some Applications
Taschenbuch von Marek Galewski
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor
Marek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 192
Reihe: Compact Textbooks in Mathematics
Inhalt: x
180 S.
ISBN-13: 9783030753078
ISBN-10: 3030753077
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Galewski, Marek
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Compact Textbooks in Mathematics
Maße: 235 x 155 x 11 mm
Von/Mit: Marek Galewski
Erscheinungsdatum: 02.09.2021
Gewicht: 0,3 kg
preigu-id: 119758106
Über den Autor
Marek Galewski is a professor at the Institute of Mathematics of the Lodz University of Technology in Lodz, Poland.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2021
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 192
Reihe: Compact Textbooks in Mathematics
Inhalt: x
180 S.
ISBN-13: 9783030753078
ISBN-10: 3030753077
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Galewski, Marek
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Compact Textbooks in Mathematics
Maße: 235 x 155 x 11 mm
Von/Mit: Marek Galewski
Erscheinungsdatum: 02.09.2021
Gewicht: 0,3 kg
preigu-id: 119758106
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