Nonlinear partial differential equations with applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel ; Heidelberg ; New York ; Dodrecht ; London
Birkhäuser
2013
|
| Edition: | Second edition |
| Series: | International series of numerical mathematics
153 |
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource (XX, 476 Seiten) Diagramme |
| ISBN: | 3034805128 9783034805124 9783034805131 |
| DOI: | 10.1007/978-3-0348-0513-1 |
Staff View
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Record in the Search Index
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| adam_text | NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS
/ ROUBICEK, TOMAS
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
PREFACE TO THE 2ND EDITION
NOTATIONAL CONVENTIONS
1 PRELIMINARY GENERAL MATERIAL
I STEADY-STATE PROBLEMS
2 PSEUDOMONOTONE OR WEAKLY CONTINUOUS MAPPINGS
3 ACCRETIVE MAPPINGS
4 POTENTIAL PROBLEMS: SMOOTH CASE
5 NONSMOOTH PROBLEMS; VARIATIONAL INEQUALITIES
6. SYSTEMS OF EQUATIONS: PARTICULAR EXAMPLES
II EVOLUTION PROBLEMS
7 SPECIAL AUXILIARY TOOLS
8 EVOLUTION BY PSEUDOMONOTONE OR WEAKLY CONTINUOUS MAPPINGS
9 EVOLUTION GOVERNED BY ACCRETIVE MAPPINGS
10 EVOLUTION GOVERNED BY CERTAIN SET-VALUED MAPPINGS
11 DOUBLY-NONLINEAR PROBLEMS
12 SYSTEMS OF EQUATIONS: PARTICULAR EXAMPLES
REFERENCES
INDEX
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH APPLICATIONS
/ ROUBICEK, TOMAS
: 2013
ABSTRACT / INHALTSTEXT
THIS BOOK PRIMARILY CONCERNS QUASILINEAR AND SEMILINEAR ELLIPTIC AND
PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS, INEQUALITIES, AND SYSTEMS. THE
EXPOSITION LEADS THE READER THROUGH THE GENERAL THEORY BASED ON ABSTRACT
(PSEUDO-) MONOTONE OR ACCRETIVE OPERATORS AS FAST AS POSSIBLE TOWARDS
THE ANALYSIS OF CONCRETE DIFFERENTIAL EQUATIONS, WHICH HAVE SPECIFIC
APPLICATIONS IN CONTINUUM (THERMO-) MECHANICS OF SOLIDS AND FLUIDS,
ELECTRICALLY (SEMI-) CONDUCTIVE MEDIA, MODELLING OF BIOLOGICAL SYSTEMS,
OR IN MECHANICAL ENGINEERING. SELECTED PARTS AREMAINLY AN INTRODUCTION
INTO THE SUBJECT WHILE SOME OTHERS FORM AN ADVANCED TEXTBOOK.
THESECOND EDITION SIMPLIFIES AND EXTENDS THE EXPOSITION AT PARTICULAR
SPOTS AND AUGMENTS THE APPLICATIONS ESPECIALLY TOWARDS THERMALLY COUPLED
SYSTEMS, MAGNETISM, AND MORE. THE INTENDED AUDIENCE IS GRADUATE AND PHD
STUDENTS AS WELL AS RESEARCHERS IN THE THEORY OF PARTIAL DIFFERENTIAL
EQUATIONS OR IN MATHEMATICAL MODELLING OF DISTRIBUTED PARAMETER SYSTEMS.
THE MONOGRAPH CONTAINS A WEALTH OF MATERIAL IN BOTH THE ABSTRACT THEORY
OF STEADY-STATE OR EVOLUTION EQUATIONS OF MONOTONE AND ACCRETIVE TYPE
AND CONCRETE APPLICATIONS TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS
FROM MATHEMATICAL MODELING. THE ORGANIZATION OF THE MATERIAL IS WELL
DONE, AND THE PRESENTATION, ALTHOUGH CONCISE, IS CLEAR, ELEGANT AND
RIGOROUS. (…) THIS BOOK IS A NOTABLE ADDITION TO THE EXISTING
LITERATURE. ALSO, IT CERTAINLY WILL PROVE USEFUL TO ENGINEERS,
PHYSICISTS, BIOLOGISTS AND OTHER SCIENTISTS INTERESTED IN THE ANALYSIS
OF (...) NONLINEAR DIFFERENTIAL MODELS OF THE REAL WORLD. (MATHEMATICAL
REVIEWS)
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Roubíček, Tomáš 1956- |
| author_GND | (DE-588)112701434 |
| author_facet | Roubíček, Tomáš 1956- |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-0513-1 |
| edition | Second edition |
| format | Electronic eBook |
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| spelling | Roubíček, Tomáš 1956- (DE-588)112701434 aut Nonlinear partial differential equations with applications Tomáš Roubíček Second edition Basel ; Heidelberg ; New York ; Dodrecht ; London Birkhäuser 2013 1 Online-Ressource (XX, 476 Seiten) Diagramme txt rdacontent c rdamedia cr rdacarrier International series of numerical mathematics 153 Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s DE-604 Erscheint auch als Druck-Ausgabe 978-3-0348-0512-4 International series of numerical mathematics 153 (DE-604)BV022447306 153 https://doi.org/10.1007/978-3-0348-0513-1 Verlag URL des Erstveröffentlichers Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025780535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025780535&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Roubíček, Tomáš 1956- Nonlinear partial differential equations with applications International series of numerical mathematics Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4128900-6 |
| title | Nonlinear partial differential equations with applications |
| title_auth | Nonlinear partial differential equations with applications |
| title_exact_search | Nonlinear partial differential equations with applications |
| title_full | Nonlinear partial differential equations with applications Tomáš Roubíček |
| title_fullStr | Nonlinear partial differential equations with applications Tomáš Roubíček |
| title_full_unstemmed | Nonlinear partial differential equations with applications Tomáš Roubíček |
| title_short | Nonlinear partial differential equations with applications |
| title_sort | nonlinear partial differential equations with applications |
| topic | Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Nichtlineare partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-3-0348-0513-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025780535&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025780535&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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