Elliptic partial differential equations:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
New York, NY
Courant Inst. of Math. Sciences [u.a.]
2011
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Courant lecture notes in mathematics
1 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024479770&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | IX, 147 S. |
| ISBN: | 9780821853139 |
Internformat
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Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 941-1 |
|---|---|
| DE-BY-TUM_katkey | 1868493 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040071421653 |
| _version_ | 1821935035989622784 |
| adam_text | Titel: Elliptic partial differential equations
Autor: Han, Qing
Jahr: 2011
Contents
Preface ix
Chapter 1. Harmonie Functions 1
1.1. Guide 1
1.2. Mean Value Properties 1
1.3. Fundamental Solutions 8
1.4. Maximum Principles 15
1.5. Energy Method 19
Chapter 2. Maximum Principles 25
2.1. Guide 25
2.2. Streng Maximum Principle 25
2.3. A Priori Estimates 30
2.4. Gradient Estimates 33
2.5. Alexandroff Maximum Principle 37
2.6. Moving Plane Method 44
Chapter 3. Weak Solutions: Part I 47
3.1. Guide 47
3.2. Growth of Local Integrals 48
3.3. Holder Continuity of Solutions 55
3.4. Holder Continuity of Gradients 60
Chapter 4. Weak Solutions, Part II 67
4.1. Guide 67
4.2. Local Boundedness 67
4.3. Holder Continuity 78
4.4. Moser s Hamack Inequality 83
4.5. Nonlinear Equations 93
Chapter 5. Viscosity Solutions 99
5.1. Guide 99
5.2. Alexandroff Maximum Principle 99
5.3. Hamack Inequality 104
5.4. Schauder Estimates 113
5.5. Wlp Estimates 118
5.6. Global Estimates 122
vüi CONTENTS
Chapter 6. Existence of Solutions 125
6.1. Perron Method 125
6.2. Variational Method 130
6.3. Continuity Method 134
6.4. Compactness Methods 136
6.5. Single- and Double-Layer Potentials Methods 139
6.6. Fixed-Point Theorems and Existence Results 142
Bibliography 147
|
| any_adam_object | 1 |
| author | Han, Qing Lin, Fanghua 1959- |
| author_GND | (DE-588)121691241 |
| author_facet | Han, Qing Lin, Fanghua 1959- |
| author_role | aut aut |
| author_sort | Han, Qing |
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| building | Verbundindex |
| bvnumber | BV039629608 |
| classification_rvk | SK 560 |
| ctrlnum | (OCoLC)760127533 (DE-599)HEB230896162 |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV039629608 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T15:58:54Z |
| institution | BVB |
| isbn | 9780821853139 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024479770 |
| oclc_num | 760127533 |
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| owner_facet | DE-824 DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-11 DE-20 |
| physical | IX, 147 S. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Courant Inst. of Math. Sciences [u.a.] |
| record_format | marc |
| series | Courant lecture notes in mathematics |
| series2 | Courant lecture notes in mathematics |
| spellingShingle | Han, Qing Lin, Fanghua 1959- Elliptic partial differential equations Courant lecture notes in mathematics Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| subject_GND | (DE-588)4014485-9 |
| title | Elliptic partial differential equations |
| title_auth | Elliptic partial differential equations |
| title_exact_search | Elliptic partial differential equations |
| title_full | Elliptic partial differential equations Qing Han ; Fanghua Lin |
| title_fullStr | Elliptic partial differential equations Qing Han ; Fanghua Lin |
| title_full_unstemmed | Elliptic partial differential equations Qing Han ; Fanghua Lin |
| title_short | Elliptic partial differential equations |
| title_sort | elliptic partial differential equations |
| topic | Elliptische Differentialgleichung (DE-588)4014485-9 gnd |
| topic_facet | Elliptische Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024479770&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV012714106 |
| work_keys_str_mv | AT hanqing ellipticpartialdifferentialequations AT linfanghua ellipticpartialdifferentialequations |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 941-1 Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |