Sobolev spaces on domains:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Stuttgart [u.a.]
Teubner
1998
|
| Schriftenreihe: | Teubner-Texte zur Mathematik
137 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 312 S. Ill. |
| ISBN: | 3815420687 |
Internformat
MARC
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| 100 | 1 | |a Burenkov, Viktor I. |d 1941- |e Verfasser |0 (DE-588)118122037 |4 aut | |
| 245 | 1 | 0 | |a Sobolev spaces on domains |c by Victor I. Burenkov |
| 264 | 1 | |a Stuttgart [u.a.] |b Teubner |c 1998 | |
| 300 | |a 312 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Teubner-Texte zur Mathematik |v 137 | |
| 650 | 4 | |a Fonction indéfiniment dérivable | |
| 650 | 4 | |a Portrait Burenkov | |
| 650 | 7 | |a Sobolev, Espaces de |2 ram | |
| 650 | 4 | |a Théorème trace | |
| 650 | 4 | |a Sobolev spaces | |
| 650 | 0 | 7 | |a Sobolev-Einbettung |0 (DE-588)4181713-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Sobolev-Raum |0 (DE-588)4055345-0 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Sobolev-Einbettung |0 (DE-588)4181713-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Sobolev-Raum |0 (DE-588)4055345-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 830 | 0 | |a Teubner-Texte zur Mathematik |v 137 |w (DE-604)BV000012607 |9 137 | |
| 856 | 4 | 2 | |m DNB Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007941046&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
Datensatz im Suchindex
| _version_ | 1805068012769771520 |
|---|---|
| adam_text |
CONTENTS
NOTATION
AND
BASIC
INEQUALITIES
11
1
PRELIMINARIES
15
1.1
MOLLIFIERS
.
15
1.2
WEAK
DERIVATIVES
.
18
1.3
SOBOLEV
SPACES
(BASIC
PROPERTIES)
.
28
2
APPROXIMATION
BY
INFINITELY
DIFFERENTIABLE
FUNCTIONS
39
2.1
APPROXIMATION
BY
C^-FUNCTIONS
ON
R
N
.
39
2.2
NONLINEAR
MOLLIFIERS
WITH
VARIABLE
STEP
.
42
2.3
APPROXIMATION
BY
C-FUNCTIONS
ON
OPEN
SETS
.
47
2.4
APPROXIMATION
WITH
PRESERVATION
OF
BOUNDARY
VALUES
.
56
2.5
LINEAR
MOLLIFIERS
WITH
VARIABLE
STEP
.
60
2.6
THE
BEST
POSSIBLE
APPROXIMATION
WITH
PRESERVATION
OF
BOUNDARY
VALUES
.
73
3
SOBOLEV
'
S
INTEGRAL
REPRESENTATION
81
3.1
THE
ONE-DIMENSIONAL
CASE
.
81
3.2
STAR-SHAPED
SETS
AND
SETS
SATISFYING
THE
CONE
CONDITION
.
92
3.3
MULTIDIMENSIONAL
TAYLOR
'
S
FORMULA
.
100
3.4
SOBOLEV
'
S
INTEGRAL
REPRESENTATION
.
104
3.5
COROLLARIES
.
ILL
4
EMBEDDING
THEOREMS
119
4.1
EMBEDDINGS
AND
INEQUALITIES
.
119
4.2
THE
ONE-DIMENSIONAL
CASE
.
127
4.3
OPEN
SETS
WITH
QUASI-RESOLVABLE,
QUASI-CONTINUOUS,
SMOOTH
AND
LIPSCHITZ
BOUNDARIES
.
148
4.4
ESTIMATES
FOR
INTERMEDIATE
DERIVATIVES
.
160
4.5
HARDY-LITTLEWOOD-SOBOLEV
INEQUALITY
FOR
INTEGRAL
OF
POTENTIAL
TYPE
177
10
CONTENTS
4.6
EMBEDDINGS
INTO
THE
SPACE
OF
CONTINUOUS
FUNCTIONS
.
181
4.7
EMBEDDINGS
INTO
THE
SPACE
L
Q
.
186
5
TRACE
THEOREMS
197
5.1
NOTION
OF
THE
TRACE
OF
A
FUNCTION
.
197
5.2
EXISTENCE
OF
THE
TRACES
ON
SUBSPACES
.
201
5.3
NIKOL
'
SKII-BESOV
SPACES
.
202
5.4
DESCRIPTION
OF
THE
TRACES
ON
SUBSPACES
.
214
5.5
TRACES
ON
SMOOTH
SURFACES
.
238
6
EXTENSION
THEOREMS
247
6.1
THE
ONE-DIMENSIONAL
CASE
.
247
6.2
PASTING
LOCAL
EXTENSIONS
.
264
6.3
EXTENSIONS
FOR
SUFFICIENTLY
SMOOTH
BOUNDARIES
.
269
6.4
EXTENSIONS
FOR
LIPSCHITZ
BOUNDARIES
.
271
7
COMMENTS
289
BIBLIOGRAPHY
296
INDEX
311 |
| any_adam_object | 1 |
| author | Burenkov, Viktor I. 1941- |
| author_GND | (DE-588)118122037 |
| author_facet | Burenkov, Viktor I. 1941- |
| author_role | aut |
| author_sort | Burenkov, Viktor I. 1941- |
| author_variant | v i b vi vib |
| building | Verbundindex |
| bvnumber | BV011767649 |
| callnumber-first | Q - Science |
| callnumber-label | QA323 |
| callnumber-raw | QA323 |
| callnumber-search | QA323 |
| callnumber-sort | QA 3323 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 600 |
| classification_tum | MAT 464f |
| ctrlnum | (OCoLC)39652136 (DE-599)BVBBV011767649 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011767649 |
| illustrated | Illustrated |
| indexdate | 2024-07-20T03:43:20Z |
| institution | BVB |
| isbn | 3815420687 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007941046 |
| oclc_num | 39652136 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-29T DE-20 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-83 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-29T DE-20 DE-703 DE-739 DE-355 DE-BY-UBR DE-824 DE-83 DE-11 DE-188 |
| physical | 312 S. Ill. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Teubner |
| record_format | marc |
| series | Teubner-Texte zur Mathematik |
| series2 | Teubner-Texte zur Mathematik |
| spelling | Burenkov, Viktor I. 1941- Verfasser (DE-588)118122037 aut Sobolev spaces on domains by Victor I. Burenkov Stuttgart [u.a.] Teubner 1998 312 S. Ill. txt rdacontent n rdamedia nc rdacarrier Teubner-Texte zur Mathematik 137 Fonction indéfiniment dérivable Portrait Burenkov Sobolev, Espaces de ram Théorème trace Sobolev spaces Sobolev-Einbettung (DE-588)4181713-8 gnd rswk-swf Sobolev-Raum (DE-588)4055345-0 gnd rswk-swf Sobolev-Einbettung (DE-588)4181713-8 s DE-604 Sobolev-Raum (DE-588)4055345-0 s Teubner-Texte zur Mathematik 137 (DE-604)BV000012607 137 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007941046&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Burenkov, Viktor I. 1941- Sobolev spaces on domains Teubner-Texte zur Mathematik Fonction indéfiniment dérivable Portrait Burenkov Sobolev, Espaces de ram Théorème trace Sobolev spaces Sobolev-Einbettung (DE-588)4181713-8 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| subject_GND | (DE-588)4181713-8 (DE-588)4055345-0 |
| title | Sobolev spaces on domains |
| title_auth | Sobolev spaces on domains |
| title_exact_search | Sobolev spaces on domains |
| title_full | Sobolev spaces on domains by Victor I. Burenkov |
| title_fullStr | Sobolev spaces on domains by Victor I. Burenkov |
| title_full_unstemmed | Sobolev spaces on domains by Victor I. Burenkov |
| title_short | Sobolev spaces on domains |
| title_sort | sobolev spaces on domains |
| topic | Fonction indéfiniment dérivable Portrait Burenkov Sobolev, Espaces de ram Théorème trace Sobolev spaces Sobolev-Einbettung (DE-588)4181713-8 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
| topic_facet | Fonction indéfiniment dérivable Portrait Burenkov Sobolev, Espaces de Théorème trace Sobolev spaces Sobolev-Einbettung Sobolev-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007941046&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000012607 |
| work_keys_str_mv | AT burenkovviktori sobolevspacesondomains |