Variational analysis in Sobolev and BV spaces: applications to PDEs and optimization
Saved in:
Main Authors: | , , |
---|---|
Format: | Book |
Language: | English |
Published: |
Philadelphia
Soc. for Industrial and Applied Math. [u.a.]
2006
|
Series: | MPS-SIAM series on optimization
|
Subjects: | |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014606296&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Item Description: | Includes bibliographical references and index |
Physical Description: | XII, 634 S. Ill. |
ISBN: | 0898716004 |
Staff View
MARC
LEADER | 00000nam a2200000 c 4500 | ||
---|---|---|---|
001 | BV021285355 | ||
003 | DE-604 | ||
005 | 20150302 | ||
007 | t| | ||
008 | 060110s2006 xx a||| |||| 00||| eng d | ||
020 | |a 0898716004 |9 0-89871-600-4 | ||
035 | |a (OCoLC)61169889 | ||
035 | |a (DE-599)BVBBV021285355 | ||
040 | |a DE-604 |b ger |e rakwb | ||
041 | 0 | |a eng | |
049 | |a DE-20 |a DE-355 |a DE-824 |a DE-29T |a DE-634 |a DE-83 |a DE-11 | ||
050 | 0 | |a QA402.5 | |
082 | 0 | |a 519.6 |2 22 | |
084 | |a SK 660 |0 (DE-625)143251: |2 rvk | ||
084 | |a 49J27 |2 msc | ||
084 | |a 49K27 |2 msc | ||
100 | 1 | |a Attouch, Hedy |e Verfasser |0 (DE-588)142643254 |4 aut | |
245 | 1 | 0 | |a Variational analysis in Sobolev and BV spaces |b applications to PDEs and optimization |c Hedy Attouch ; Giuseppe Buttazzo ; Gérard Michaille |
264 | 1 | |a Philadelphia |b Soc. for Industrial and Applied Math. [u.a.] |c 2006 | |
300 | |a XII, 634 S. |b Ill. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
490 | 0 | |a MPS-SIAM series on optimization | |
500 | |a Includes bibliographical references and index | ||
650 | 7 | |a Análise numérica |2 larpcal | |
650 | 7 | |a Análise variacional |2 larpcal | |
650 | 7 | |a Método dos elementos finitos |2 larpcal | |
650 | 7 | |a Programação matemática |2 larpcal | |
650 | 4 | |a Mathematical optimization | |
650 | 4 | |a Calculus of variations | |
650 | 4 | |a Sobolev spaces | |
650 | 4 | |a Functions of bounded variation | |
650 | 4 | |a Differential equations, Partial | |
650 | 0 | 7 | |a Variationsrechnung |0 (DE-588)4062355-5 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |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 Variationsrechnung |0 (DE-588)4062355-5 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Sobolev-Raum |0 (DE-588)4055345-0 |D s |
689 | 1 | |8 1\p |5 DE-604 | |
689 | 2 | 0 | |a Optimierung |0 (DE-588)4043664-0 |D s |
689 | 2 | |8 2\p |5 DE-604 | |
689 | 3 | 0 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
689 | 3 | |8 3\p |5 DE-604 | |
700 | 1 | |a Buttazzo, Giuseppe |d 1954- |e Verfasser |0 (DE-588)113360568 |4 aut | |
700 | 1 | |a Michaille, Gerard |e Verfasser |0 (DE-588)142643521 |4 aut | |
856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014606296&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-014606296 |
Record in the Search Index
_version_ | 1819294385760632832 |
---|---|
adam_text | Contents
Preface
1
Part
2
2.1
2.2
2.2.1
2.2.2
tion by convolution and mollifiers
2.2.3
2.2.4
2.2.5
2.3
2.3.1
2.3.2
2.4
2.4.1
spaces
2.4.2
2.4.3
spaces
2.4.4
2.4.5
2.4.6
3
3.1
3.1.1
3.1.2
3.2
v¡
3.2.1
3.2.2
epigraph
3.2.3
3.2.4
3.2.5
3.2.6
3.2.7
continuous functions
3.3
3.3.1
semicontinuity
3.3.2
3.4
3.4.1
3.4.2
principle
4
4.1
4.1.1
4.1.2
transformations
4.1.3
4.2
4.2.1
4.2.2
4.3
4.3.1
4.3.2
4.3.3
4.3.4
by functions
4.3.5
4.3.6
4.3.7
5
5.1
5.2
5.3
5.4
ities and the Rellich-Kondrakov theorem in
5.5
5.6
5.7
Contents
5.7.1
5.7.2
5.7.3
5.8
5.8.1
5.8.2
6
6.1
6.1.1
6.1.2
6.2
6.2.1
6.2.2
6.2.3
6.2.4
6.3
6.3.1
6.3.2
6.4
6.5
6.6
6.7
7
7.1
7.2
7.3
7.4
7.5
7.5.1
7.5.2
on a convex polygon
7.5.3
8
8.1
8.2
8.3
operator
8.4
8.5
Laplace-Dirichlet operator
8.6
problems
viii Contents
9
9.1
9.2
9.3
9.4
9.5
9.6
9.6.1
9.6.2
9.6.3
9.6.4
9.7
9.8
Part II: Advanced Variational Analysis
10
10.1
10.2
10.3
10.3.1
10.3.2
10.3.3
10.4
10.5
10.5.1
10.5.2
11
11.1
11.2
11.3
11.4
11.4.1
11.4.2
12
12.1
12.2
12.3
12.3.1
12.3.2
12.4
12.4.1
Contents
12.4.2 Variational
A phase transitions model
12.4.3
tional energy
13
13.1
13.2
13.3
13.4
13.4.1
13.4.2
14
14.1
14.1.1
14.1.2
14.1.3
14.1.4
14.2
14.2.1
14.2.2
14.2.3
14.3
15
15.1
15.2
15.3
15.4
16
16.1
16.2
16.3
16.4
Bibliography
Index
|
any_adam_object | 1 |
author | Attouch, Hedy Buttazzo, Giuseppe 1954- Michaille, Gerard |
author_GND | (DE-588)142643254 (DE-588)113360568 (DE-588)142643521 |
author_facet | Attouch, Hedy Buttazzo, Giuseppe 1954- Michaille, Gerard |
author_role | aut aut aut |
author_sort | Attouch, Hedy |
author_variant | h a ha g b gb g m gm |
building | Verbundindex |
bvnumber | BV021285355 |
callnumber-first | Q - Science |
callnumber-label | QA402 |
callnumber-raw | QA402.5 |
callnumber-search | QA402.5 |
callnumber-sort | QA 3402.5 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 660 |
ctrlnum | (OCoLC)61169889 (DE-599)BVBBV021285355 |
dewey-full | 519.6 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 519 - Probabilities and applied mathematics |
dewey-raw | 519.6 |
dewey-search | 519.6 |
dewey-sort | 3519.6 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02814nam a2200661 c 4500</leader><controlfield tag="001">BV021285355</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150302 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">060110s2006 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0898716004</subfield><subfield code="9">0-89871-600-4</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)61169889</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021285355</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA402.5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">519.6</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 660</subfield><subfield code="0">(DE-625)143251:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49J27</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">49K27</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Attouch, Hedy</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142643254</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Variational analysis in Sobolev and BV spaces</subfield><subfield code="b">applications to PDEs and optimization</subfield><subfield code="c">Hedy Attouch ; Giuseppe Buttazzo ; Gérard Michaille</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Philadelphia</subfield><subfield code="b">Soc. for Industrial and Applied Math. [u.a.]</subfield><subfield code="c">2006</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 634 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">MPS-SIAM series on optimization</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise numérica</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Análise variacional</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Método dos elementos finitos</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Programação matemática</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Calculus of variations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sobolev spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions of bounded variation</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Partial</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Sobolev-Raum</subfield><subfield code="0">(DE-588)4055345-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Variationsrechnung</subfield><subfield code="0">(DE-588)4062355-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Sobolev-Raum</subfield><subfield code="0">(DE-588)4055345-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Buttazzo, Giuseppe</subfield><subfield code="d">1954-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)113360568</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Michaille, Gerard</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)142643521</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014606296&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014606296</subfield></datafield></record></collection> |
id | DE-604.BV021285355 |
illustrated | Illustrated |
indexdate | 2024-12-20T12:32:27Z |
institution | BVB |
isbn | 0898716004 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014606296 |
oclc_num | 61169889 |
open_access_boolean | |
owner | DE-20 DE-355 DE-BY-UBR DE-824 DE-29T DE-634 DE-83 DE-11 |
owner_facet | DE-20 DE-355 DE-BY-UBR DE-824 DE-29T DE-634 DE-83 DE-11 |
physical | XII, 634 S. Ill. |
publishDate | 2006 |
publishDateSearch | 2006 |
publishDateSort | 2006 |
publisher | Soc. for Industrial and Applied Math. [u.a.] |
record_format | marc |
series2 | MPS-SIAM series on optimization |
spellingShingle | Attouch, Hedy Buttazzo, Giuseppe 1954- Michaille, Gerard Variational analysis in Sobolev and BV spaces applications to PDEs and optimization Análise numérica larpcal Análise variacional larpcal Método dos elementos finitos larpcal Programação matemática larpcal Mathematical optimization Calculus of variations Sobolev spaces Functions of bounded variation Differential equations, Partial Variationsrechnung (DE-588)4062355-5 gnd Optimierung (DE-588)4043664-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
subject_GND | (DE-588)4062355-5 (DE-588)4043664-0 (DE-588)4044779-0 (DE-588)4055345-0 |
title | Variational analysis in Sobolev and BV spaces applications to PDEs and optimization |
title_auth | Variational analysis in Sobolev and BV spaces applications to PDEs and optimization |
title_exact_search | Variational analysis in Sobolev and BV spaces applications to PDEs and optimization |
title_full | Variational analysis in Sobolev and BV spaces applications to PDEs and optimization Hedy Attouch ; Giuseppe Buttazzo ; Gérard Michaille |
title_fullStr | Variational analysis in Sobolev and BV spaces applications to PDEs and optimization Hedy Attouch ; Giuseppe Buttazzo ; Gérard Michaille |
title_full_unstemmed | Variational analysis in Sobolev and BV spaces applications to PDEs and optimization Hedy Attouch ; Giuseppe Buttazzo ; Gérard Michaille |
title_short | Variational analysis in Sobolev and BV spaces |
title_sort | variational analysis in sobolev and bv spaces applications to pdes and optimization |
title_sub | applications to PDEs and optimization |
topic | Análise numérica larpcal Análise variacional larpcal Método dos elementos finitos larpcal Programação matemática larpcal Mathematical optimization Calculus of variations Sobolev spaces Functions of bounded variation Differential equations, Partial Variationsrechnung (DE-588)4062355-5 gnd Optimierung (DE-588)4043664-0 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Sobolev-Raum (DE-588)4055345-0 gnd |
topic_facet | Análise numérica Análise variacional Método dos elementos finitos Programação matemática Mathematical optimization Calculus of variations Sobolev spaces Functions of bounded variation Differential equations, Partial Variationsrechnung Optimierung Partielle Differentialgleichung Sobolev-Raum |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014606296&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT attouchhedy variationalanalysisinsobolevandbvspacesapplicationstopdesandoptimization AT buttazzogiuseppe variationalanalysisinsobolevandbvspacesapplicationstopdesandoptimization AT michaillegerard variationalanalysisinsobolevandbvspacesapplicationstopdesandoptimization |