Équations aux dérivées partielles elliptiques non linéaires:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | French |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Mathématiques et applications
72 |
| Subjects: | |
| Online Access: | BTU01 TUM01 UBA01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 9783642361746 9783642361753 |
| DOI: | 10.1007/978-3-642-36175-3 |
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Record in the Search Index
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| adam_text | EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON LINEAIRES
/ LE DRET, HERVE
: 2013
TABLE OF CONTENTS / INHALTSVERZEICHNIS
PREFACE
TABLE DES MATIERES
RAPPELS D’ANALYSE REELLE ET FONCTIONNELLE
THEOREMES DE POINT FIXE ET APPLICATIONS
LES OPERATEURS DE SUPERPOSITION
LA METHODE DE GALERKIN
PRINCIPE DU MAXIMUM, REGULARITE ELLIPTIQUE ET APPLICATIONS
CALCUL DES VARIATIONS ET PROBLEMES QUASI-LINEAIRES
CALCUL DES VARIATIONS ET POINTS CRITIQUES
OPERATEURS MONOTONES ET INEQUATIONS VARIATIONNELLES
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
EQUATIONS AUX DERIVEES PARTIELLES ELLIPTIQUES NON LINEAIRES
/ LE DRET, HERVE
: 2013
ABSTRACT / INHALTSTEXT
CET OUVRAGE EST ISSU D’UN COURS DE MASTER 2 ENSEIGNE A L’UPMC
ENTRE 2004 ET 2007. NOUS Y PRESENTONS UNE SELECTION DE TECHNIQUES
MATHEMATIQUES ORIENTEES VERS LA RESOLUTION DES EQUATIONS AUX
DERIVEES PARTIELLES ELLIPTIQUES SEMI-LINEAIRES ET QUASI-LINEAIRES.
APRES UN VADE-MECUM D ANALYSE REELLE ET D ANALYSE FONCTIONNELLE DE
BASE POUR LES EDP, SANS DEMONSTRATIONS POUR LES POINTS LES PLUS CONNUS,
NOUS PARCOURONS AINSI LES THEOREMES DE POINT FIXE CLASSIQUES, LES
OPERATEURS DE SUPERPOSITION DANS LES ESPACES DE LEBESGUE ET DE SOBOLEV,
LA METHODE DE GALERKIN, LES PRINCIPES DU MAXIMUM ET LA REGULARITE
ELLIPTIQUE, NOUS FAISONS UNE EXCURSION ASSEZ LONGUE DANS DIVERS ASPECTS
DU CALCUL DES VARIATIONS PUIS TERMINONS PAR LES OPERATEURS MONOTONES ET
PSEUDO-MONOTONES. TOUT CECI EST AGREMENTE D’EXEMPLES ET CHAQUE
CHAPITRE EST COMPLETE D UN NOMBRE D’EXERCICES QUI CROIT
ESSENTIELLEMENT AVEC LE NUMERO DU CHAPITRE, AU FUR ET A MESURE QUE DE
NOUVEAUX MATERIAUX SONT PRESENTES. THIS BOOK STEMS FROM LECTURES
NOTES OF A MASTER 2 CLASS HELD AT UPMC BETWEEN 2004 AND 2007. A
SELECTION OF MATHEMATICAL TECHNIQUES GEARED TOWARDS THE RESOLUTION OF
SEMILINEAR AND QUASILINEAR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS IS
PRESENTED. AFTER A SHORT SURVIVAL GUIDE IN BASIC REAL AND FUNCTIONAL
ANALYSIS FOR PDES, WITHOUT PROOFS FOR THE MOST WELL-KNOWN RESULTS, WE
WALK THROUGH THE CLASSICAL FIXED POINT THEOREMS, THE SUPERPOSITION
OPERATORS IN LEBESGUE AND SOBOLEV SPACES, THE GALERKIN METHOD, THE
MAXIMUM PRINCIPLES AND ELLIPTIC REGULARITY, WE MAKE A RATHER LONG FORAY
INTO VARIOUS ASPECTS OF THE CALCULUS OF VARIATIONS, AND CONCLUDE WITH
MONOTONE AND PSEUDO-MONOTONE OPERATORS, BY WAY OF NUMEROUS EXAMPLES.
EACH CHAPTER IS COMPLEMENTED BY A NUMBER OF EXERCISES THAT GROWS WITH
THE CHAPTER NUMBER AS MORE AND MORE MATERIAL IS MADE AVAILABLE.
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Le Dret, Herve |
| author_facet | Le Dret, Herve |
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| dewey-full | 515.353 |
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| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-36175-3 |
| format | Electronic eBook |
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| language | French |
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| series | Mathématiques et applications |
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| spelling | Le Dret, Herve Verfasser aut Équations aux dérivées partielles elliptiques non linéaires Hervé Le Dret Berlin [u.a.] Springer 2013 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Mathématiques et applications 72 Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd rswk-swf Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 s DE-604 Mathématiques et applications 72 (DE-604)BV035421256 72 https://doi.org/10.1007/978-3-642-36175-3 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026023080&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=026023080&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Le Dret, Herve Équations aux dérivées partielles elliptiques non linéaires Mathématiques et applications Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd |
| subject_GND | (DE-588)4310554-3 |
| title | Équations aux dérivées partielles elliptiques non linéaires |
| title_auth | Équations aux dérivées partielles elliptiques non linéaires |
| title_exact_search | Équations aux dérivées partielles elliptiques non linéaires |
| title_full | Équations aux dérivées partielles elliptiques non linéaires Hervé Le Dret |
| title_fullStr | Équations aux dérivées partielles elliptiques non linéaires Hervé Le Dret |
| title_full_unstemmed | Équations aux dérivées partielles elliptiques non linéaires Hervé Le Dret |
| title_short | Équations aux dérivées partielles elliptiques non linéaires |
| title_sort | equations aux derivees partielles elliptiques non lineaires |
| topic | Nichtlineare elliptische Differentialgleichung (DE-588)4310554-3 gnd |
| topic_facet | Nichtlineare elliptische Differentialgleichung |
| url | https://doi.org/10.1007/978-3-642-36175-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026023080&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=026023080&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV035421256 |
| work_keys_str_mv | AT ledretherve equationsauxderiveespartielleselliptiquesnonlineaires |