Time-dependent subdifferential evolution inclusions and optimal control:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
1998
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
632 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 133, Number 632 (third of 5 numbers) |
| Physical Description: | VIII, 81 S. |
| ISBN: | 082180779X |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV012010397 | ||
| 003 | DE-604 | ||
| 005 | 20230621 | ||
| 007 | t | ||
| 008 | 980618s1998 |||| 00||| eng d | ||
| 020 | |a 082180779X |9 0-8218-0779-X | ||
| 035 | |a (OCoLC)38258081 | ||
| 035 | |a (DE-599)BVBBV012010397 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-355 |a DE-739 |a DE-29T |a DE-384 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510 |2 21 | |
| 082 | 0 | |a 515/.35 |2 21 | |
| 084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
| 084 | |a MAT 496f |2 stub | ||
| 100 | 1 | |a Hu, Shouchuan |d 1958- |e Verfasser |0 (DE-588)1018433058 |4 aut | |
| 245 | 1 | 0 | |a Time-dependent subdifferential evolution inclusions and optimal control |c Shouchuan Hu ; Nikolaos S. Papageorgiou |
| 246 | 1 | 3 | |a Time dependent subdifferential evolution inclusions and optimal control |
| 264 | 1 | |a Providence, RI |c 1998 | |
| 300 | |a VIII, 81 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 632 | |
| 500 | |a Volume 133, Number 632 (third of 5 numbers) | ||
| 650 | 7 | |a Controle |2 larpcal | |
| 650 | 7 | |a Controleleer |2 gtt | |
| 650 | 7 | |a Differentiaalvergelijkingen |2 gtt | |
| 650 | 7 | |a Optimaliseren |2 gtt | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Differential inclusions | |
| 650 | 4 | |a Evolution equations | |
| 650 | 4 | |a Mathematical optimization | |
| 650 | 4 | |a Subdifferentials | |
| 650 | 0 | 7 | |a Optimierung |0 (DE-588)4043664-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Inklusion |g Mathematik |0 (DE-588)4391130-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Subdifferential |0 (DE-588)4404539-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kontrolltheorie |0 (DE-588)4032317-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Subdifferential |0 (DE-588)4404539-6 |D s |
| 689 | 0 | 1 | |a Inklusion |g Mathematik |0 (DE-588)4391130-4 |D s |
| 689 | 0 | 2 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
| 689 | 0 | 3 | |a Kontrolltheorie |0 (DE-588)4032317-1 |D s |
| 689 | 0 | 4 | |a Optimierung |0 (DE-588)4043664-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Papageōrgiu, Nikolaos |d 1958- |e Verfasser |0 (DE-588)137051085 |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 632 |w (DE-604)BV008000141 |9 632 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008127971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-008127971 | ||
Record in the Search Index
| _version_ | 1804126606868873216 |
|---|---|
| adam_text | Contents
1. Introduction 1
2. Preliminaries: Mathematical Background and Terminology 2
3. Evolution Inclusions 7
3.1. Existence results 7
3.2. Extremal Solutions 16
3.3. Relaxation Theorem 18
3.4. Convergence Theorems 23
3.5. Parametrized Relaxation 29
3.6. A Topological Property of the Solution Set 34
4. Optimal Control 35
4.1. Existence Theory 35
4.2. Relaxed Problem 41
4.3. Well Posedness 55
4.4. Relaxability vs. Well Posedness 61
5. Applications 63
5.1. Obstacle Problems 63
5.2. Navier Stokes Equations 66
5.3. Multivalued p.d.e s 69
5.4. Nonlinear p.d.e s with Time Dependent Constraints 71
5.5. Parametric Optimal Control Problems 72
5.6. Differential Variational Inequalities 76
References 77
|
| any_adam_object | 1 |
| author | Hu, Shouchuan 1958- Papageōrgiu, Nikolaos 1958- |
| author_GND | (DE-588)1018433058 (DE-588)137051085 |
| author_facet | Hu, Shouchuan 1958- Papageōrgiu, Nikolaos 1958- |
| author_role | aut aut |
| author_sort | Hu, Shouchuan 1958- |
| author_variant | s h sh n p np |
| building | Verbundindex |
| bvnumber | BV012010397 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 496f |
| ctrlnum | (OCoLC)38258081 (DE-599)BVBBV012010397 |
| dewey-full | 510 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515/.35 |
| dewey-search | 510 515/.35 |
| dewey-sort | 3510 |
| 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>02626nam a2200625 cb4500</leader><controlfield tag="001">BV012010397</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230621 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">980618s1998 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">082180779X</subfield><subfield code="9">0-8218-0779-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)38258081</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV012010397</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">21</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.35</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 496f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hu, Shouchuan</subfield><subfield code="d">1958-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1018433058</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Time-dependent subdifferential evolution inclusions and optimal control</subfield><subfield code="c">Shouchuan Hu ; Nikolaos S. Papageorgiou</subfield></datafield><datafield tag="246" ind1="1" ind2="3"><subfield code="a">Time dependent subdifferential evolution inclusions and optimal control</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="c">1998</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 81 S.</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="1" ind2=" "><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">632</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 133, Number 632 (third of 5 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Controle</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Controleleer</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Differentiaalvergelijkingen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Optimaliseren</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Control theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential inclusions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Evolution equations</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematical optimization</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Subdifferentials</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">Inklusion</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4391130-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Subdifferential</subfield><subfield code="0">(DE-588)4404539-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kontrolltheorie</subfield><subfield code="0">(DE-588)4032317-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Subdifferential</subfield><subfield code="0">(DE-588)4404539-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Inklusion</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4391130-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Kontrolltheorie</subfield><subfield code="0">(DE-588)4032317-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="4"><subfield code="a">Optimierung</subfield><subfield code="0">(DE-588)4043664-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Papageōrgiu, Nikolaos</subfield><subfield code="d">1958-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)137051085</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">632</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">632</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=008127971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-008127971</subfield></datafield></record></collection> |
| id | DE-604.BV012010397 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:20:08Z |
| institution | BVB |
| isbn | 082180779X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008127971 |
| oclc_num | 38258081 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-384 DE-83 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-739 DE-29T DE-384 DE-83 DE-188 |
| physical | VIII, 81 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Hu, Shouchuan 1958- Verfasser (DE-588)1018433058 aut Time-dependent subdifferential evolution inclusions and optimal control Shouchuan Hu ; Nikolaos S. Papageorgiou Time dependent subdifferential evolution inclusions and optimal control Providence, RI 1998 VIII, 81 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 632 Volume 133, Number 632 (third of 5 numbers) Controle larpcal Controleleer gtt Differentiaalvergelijkingen gtt Optimaliseren gtt Control theory Differential inclusions Evolution equations Mathematical optimization Subdifferentials Optimierung (DE-588)4043664-0 gnd rswk-swf Inklusion Mathematik (DE-588)4391130-4 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Subdifferential (DE-588)4404539-6 gnd rswk-swf Kontrolltheorie (DE-588)4032317-1 gnd rswk-swf Subdifferential (DE-588)4404539-6 s Inklusion Mathematik (DE-588)4391130-4 s Evolutionsgleichung (DE-588)4129061-6 s Kontrolltheorie (DE-588)4032317-1 s Optimierung (DE-588)4043664-0 s DE-604 Papageōrgiu, Nikolaos 1958- Verfasser (DE-588)137051085 aut American Mathematical Society: Memoirs of the American Mathematical Society 632 (DE-604)BV008000141 632 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008127971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hu, Shouchuan 1958- Papageōrgiu, Nikolaos 1958- Time-dependent subdifferential evolution inclusions and optimal control American Mathematical Society: Memoirs of the American Mathematical Society Controle larpcal Controleleer gtt Differentiaalvergelijkingen gtt Optimaliseren gtt Control theory Differential inclusions Evolution equations Mathematical optimization Subdifferentials Optimierung (DE-588)4043664-0 gnd Inklusion Mathematik (DE-588)4391130-4 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Subdifferential (DE-588)4404539-6 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| subject_GND | (DE-588)4043664-0 (DE-588)4391130-4 (DE-588)4129061-6 (DE-588)4404539-6 (DE-588)4032317-1 |
| title | Time-dependent subdifferential evolution inclusions and optimal control |
| title_alt | Time dependent subdifferential evolution inclusions and optimal control |
| title_auth | Time-dependent subdifferential evolution inclusions and optimal control |
| title_exact_search | Time-dependent subdifferential evolution inclusions and optimal control |
| title_full | Time-dependent subdifferential evolution inclusions and optimal control Shouchuan Hu ; Nikolaos S. Papageorgiou |
| title_fullStr | Time-dependent subdifferential evolution inclusions and optimal control Shouchuan Hu ; Nikolaos S. Papageorgiou |
| title_full_unstemmed | Time-dependent subdifferential evolution inclusions and optimal control Shouchuan Hu ; Nikolaos S. Papageorgiou |
| title_short | Time-dependent subdifferential evolution inclusions and optimal control |
| title_sort | time dependent subdifferential evolution inclusions and optimal control |
| topic | Controle larpcal Controleleer gtt Differentiaalvergelijkingen gtt Optimaliseren gtt Control theory Differential inclusions Evolution equations Mathematical optimization Subdifferentials Optimierung (DE-588)4043664-0 gnd Inklusion Mathematik (DE-588)4391130-4 gnd Evolutionsgleichung (DE-588)4129061-6 gnd Subdifferential (DE-588)4404539-6 gnd Kontrolltheorie (DE-588)4032317-1 gnd |
| topic_facet | Controle Controleleer Differentiaalvergelijkingen Optimaliseren Control theory Differential inclusions Evolution equations Mathematical optimization Subdifferentials Optimierung Inklusion Mathematik Evolutionsgleichung Subdifferential Kontrolltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008127971&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT hushouchuan timedependentsubdifferentialevolutioninclusionsandoptimalcontrol AT papageorgiunikolaos timedependentsubdifferentialevolutioninclusionsandoptimalcontrol |