Nonlinear functional analysis and its applications: 2,A Linear monotone operators
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
New York, NY [u.a.]
Springer
1990
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Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century |
Beschreibung: | 1 Online-Ressource (XVIII, 467 S.) Ill. |
ISBN: | 9781461209850 9781461269717 |
DOI: | 10.1007/978-1-4612-0985-0 |
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id | DE-604.BV042507397 |
illustrated | Illustrated |
indexdate | 2024-07-10T01:23:37Z |
institution | BVB |
isbn | 9781461209850 9781461269717 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027941988 |
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physical | 1 Online-Ressource (XVIII, 467 S.) Ill. |
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publishDate | 1990 |
publishDateSearch | 1990 |
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publisher | Springer |
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spelling | Zeidler, Eberhard 1940-2016 Verfasser (DE-588)121295869 aut Vorlesungen über nichtlineare Funktionalanalysis Nonlinear functional analysis and its applications 2,A Linear monotone operators Eberhard Zeidler New York, NY [u.a.] Springer 1990 1 Online-Ressource (XVIII, 467 S.) Ill. txt rdacontent c rdamedia cr rdacarrier This is the second of a five-volume exposition of the main principles of nonlinear functional analysis and its applications to the natural sciences, economics, and numerical analysis. The presentation is self -contained and accessible to the nonspecialist. Part II concerns the theory of monotone operators. It is divided into two subvolumes, II/A and II/B, which form a unit. The present Part II/A is devoted to linear monotone operators. It serves as an elementary introduction to the modern functional analytic treatment of variational problems, integral equations, and partial differential equations of elliptic, parabolic and hyperbolic type. This book also represents an introduction to numerical functional analysis with applications to the Ritz method along with the method of finite elements, the Galerkin methods, and the difference method. Many exercises complement the text. The theory of monotone operators is closely related to Hilbert's rigorous justification of the Dirichlet principle, and to the 19th and 20th problems of Hilbert which he formulated in his famous Paris lecture in 1900, and which strongly influenced the development of analysis in the twentieth century Mathematics Global analysis (Mathematics) Analysis Mathematik (DE-604)BV042507225 2,1 https://doi.org/10.1007/978-1-4612-0985-0 Verlag Volltext |
spellingShingle | Zeidler, Eberhard 1940-2016 Nonlinear functional analysis and its applications Mathematics Global analysis (Mathematics) Analysis Mathematik |
title | Nonlinear functional analysis and its applications |
title_alt | Vorlesungen über nichtlineare Funktionalanalysis |
title_auth | Nonlinear functional analysis and its applications |
title_exact_search | Nonlinear functional analysis and its applications |
title_full | Nonlinear functional analysis and its applications 2,A Linear monotone operators Eberhard Zeidler |
title_fullStr | Nonlinear functional analysis and its applications 2,A Linear monotone operators Eberhard Zeidler |
title_full_unstemmed | Nonlinear functional analysis and its applications 2,A Linear monotone operators Eberhard Zeidler |
title_short | Nonlinear functional analysis and its applications |
title_sort | nonlinear functional analysis and its applications linear monotone operators |
topic | Mathematics Global analysis (Mathematics) Analysis Mathematik |
topic_facet | Mathematics Global analysis (Mathematics) Analysis Mathematik |
url | https://doi.org/10.1007/978-1-4612-0985-0 |
volume_link | (DE-604)BV042507225 |
work_keys_str_mv | AT zeidlereberhard vorlesungenubernichtlinearefunktionalanalysis AT zeidlereberhard nonlinearfunctionalanalysisanditsapplications2a |