Vector-valued Laplace transforms and Cauchy problems
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
2001
|
| Schriftenreihe: | Monographs in mathematics
96 |
| Schlagworte: | |
| Online-Zugang: | Klappentext Inhaltsverzeichnis |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
MARC
| LEADER | 00000nam a22000008cb4500 | ||
|---|---|---|---|
| 001 | BV013617204 | ||
| 003 | DE-604 | ||
| 005 | 20210930 | ||
| 007 | t | ||
| 008 | 010226s2001 gw |||| 00||| eng d | ||
| 016 | 7 | |a 960858091 |2 DE-101 | |
| 020 | |a 3764365498 |9 3-7643-6549-8 | ||
| 020 | |a 9783764365493 |9 978-3-7643-6549-3 | ||
| 020 | |a 0817665498 |9 0-8176-6549-8 | ||
| 035 | |a (OCoLC)46364758 | ||
| 035 | |a (DE-599)BVBBV013617204 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-703 |a DE-91G |a DE-355 |a DE-824 |a DE-384 |a DE-706 |a DE-83 |a DE-11 |a DE-188 |a DE-B768 | ||
| 050 | 0 | |a QA432 | |
| 082 | 0 | |a 515/.723 |2 21 | |
| 084 | |a SK 540 |0 (DE-625)143245: |2 rvk | ||
| 084 | |a 44A10 |2 msc | ||
| 084 | |a 35K25 |2 msc | ||
| 084 | |a 35A22 |2 msc | ||
| 084 | |a MAT 440f |2 stub | ||
| 245 | 1 | 0 | |a Vector-valued Laplace transforms and Cauchy problems |c Wolfgang Arendt ... |
| 264 | 1 | |a Basel [u.a.] |b Birkhäuser |c 2001 | |
| 300 | |a XI, 523 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Monographs in mathematics |v 96 | |
| 650 | 4 | |a Cauchy, Problème de | |
| 650 | 4 | |a Laplace, Transformation de | |
| 650 | 7 | |a Laplace-transformaties |2 gtt | |
| 650 | 7 | |a Probleem van Cauchy |2 gtt | |
| 650 | 7 | |a Vectoren (wiskunde) |2 gtt | |
| 650 | 4 | |a Cauchy problem | |
| 650 | 4 | |a Laplace transformation | |
| 650 | 0 | 7 | |a Laplace-Transformation |0 (DE-588)4034577-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Cauchy-Anfangswertproblem |0 (DE-588)4147404-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Evolutionsgleichung |0 (DE-588)4129061-6 |D s |
| 689 | 0 | 1 | |a Laplace-Transformation |0 (DE-588)4034577-4 |D s |
| 689 | 0 | 2 | |a Cauchy-Anfangswertproblem |0 (DE-588)4147404-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Arendt, Wolfgang |e Sonstige |4 oth | |
| 830 | 0 | |a Monographs in mathematics |v 96 |w (DE-604)BV000008284 |9 96 | |
| 856 | 4 | 2 | |m Digitalisierung UB Augsburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303838&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Klappentext |
| 856 | 4 | 2 | |m Digitalisierung UB Augsburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303838&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009303838 | ||
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0202/MAT 440f 2002 A 1154 |
|---|---|
| DE-BY-TUM_katkey | 1215281 |
| DE-BY-TUM_media_number | 040020660097 |
| _version_ | 1816712096906215424 |
| adam_text | This monograph gives a systematic
account of the theory of vector-valued
Laplace transforms, ranging from
representation theory to Tauberian
theorems. In parallel, the theory of linear
Cauchy problems and semigroups of
operators is developed completely in the
spirit of Laplace transforms. Existence
and uniqueness, regularity, approxima¬
tion and above all asymptotic behaviour
of solutions are studied. Diverse applica¬
tions to partial differential equations are
given.
The book contains an introduction to the
Bochner integral and several appendices
on background material. It is addressed
to students and researchers interested in
evolution equations, Laplace and Fourier
transforms, and functional analysis.
Contents
Preface
A Laplace Transforms and Well-Posedness of Cauchy Problems
1
1.1
1.2
1.3
1.4
1.5
1.6
1.7
Д.Ѕ
1.9
1.10
1.11
2
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
3
3.1
3.2
3.3
3.4
3.5
3.6
Contents
3.7
3.8
3.9
3.10
3.11
3.12
3.13
3.14
3.15
3.16
3.17
В
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
4.8
4.9
4.10
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
С
6
6.1
6.2
6.3
6.4
Contents
Τ
7.1
7.2
7.3
................. 411
................. 417
................. 421
8
8.1
8.2
8.3
8.4
8.5
429
436
443
453
Appendices
A Vector-valued Holomorphic Functions
В
................455
................461
С
D
E
Bibliography
Notation
Index
475
479
487
511
517
|
| any_adam_object | 1 |
| building | Verbundindex |
| bvnumber | BV013617204 |
| callnumber-first | Q - Science |
| callnumber-label | QA432 |
| callnumber-raw | QA432 |
| callnumber-search | QA432 |
| callnumber-sort | QA 3432 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 540 |
| classification_tum | MAT 440f |
| ctrlnum | (OCoLC)46364758 (DE-599)BVBBV013617204 |
| dewey-full | 515/.723 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.723 |
| dewey-search | 515/.723 |
| dewey-sort | 3515 3723 |
| 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>02460nam a22006018cb4500</leader><controlfield tag="001">BV013617204</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210930 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010226s2001 gw |||| 00||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">960858091</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3764365498</subfield><subfield code="9">3-7643-6549-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783764365493</subfield><subfield code="9">978-3-7643-6549-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817665498</subfield><subfield code="9">0-8176-6549-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)46364758</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013617204</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="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-B768</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA432</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.723</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 540</subfield><subfield code="0">(DE-625)143245:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">44A10</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35K25</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">35A22</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 440f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Vector-valued Laplace transforms and Cauchy problems</subfield><subfield code="c">Wolfgang Arendt ...</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Basel [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XI, 523 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">Monographs in mathematics</subfield><subfield code="v">96</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cauchy, Problème de</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Laplace, Transformation de</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Laplace-transformaties</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Probleem van Cauchy</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Vectoren (wiskunde)</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Cauchy problem</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Laplace transformation</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Laplace-Transformation</subfield><subfield code="0">(DE-588)4034577-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Cauchy-Anfangswertproblem</subfield><subfield code="0">(DE-588)4147404-1</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="689" ind1="0" ind2="0"><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="1"><subfield code="a">Laplace-Transformation</subfield><subfield code="0">(DE-588)4034577-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Cauchy-Anfangswertproblem</subfield><subfield code="0">(DE-588)4147404-1</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">Arendt, Wolfgang</subfield><subfield code="e">Sonstige</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Monographs in mathematics</subfield><subfield code="v">96</subfield><subfield code="w">(DE-604)BV000008284</subfield><subfield code="9">96</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Augsburg</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=009303838&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Klappentext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Augsburg</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=009303838&sequence=000004&line_number=0002&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:BVB01-009303838</subfield></datafield></record></collection> |
| id | DE-604.BV013617204 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:19:56Z |
| institution | BVB |
| isbn | 3764365498 9783764365493 0817665498 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009303838 |
| oclc_num | 46364758 |
| open_access_boolean | |
| owner | DE-703 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-384 DE-706 DE-83 DE-11 DE-188 DE-B768 |
| owner_facet | DE-703 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-824 DE-384 DE-706 DE-83 DE-11 DE-188 DE-B768 |
| physical | XI, 523 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Monographs in mathematics |
| series2 | Monographs in mathematics |
| spellingShingle | Vector-valued Laplace transforms and Cauchy problems Monographs in mathematics Cauchy, Problème de Laplace, Transformation de Laplace-transformaties gtt Probleem van Cauchy gtt Vectoren (wiskunde) gtt Cauchy problem Laplace transformation Laplace-Transformation (DE-588)4034577-4 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| subject_GND | (DE-588)4034577-4 (DE-588)4147404-1 (DE-588)4129061-6 |
| title | Vector-valued Laplace transforms and Cauchy problems |
| title_auth | Vector-valued Laplace transforms and Cauchy problems |
| title_exact_search | Vector-valued Laplace transforms and Cauchy problems |
| title_full | Vector-valued Laplace transforms and Cauchy problems Wolfgang Arendt ... |
| title_fullStr | Vector-valued Laplace transforms and Cauchy problems Wolfgang Arendt ... |
| title_full_unstemmed | Vector-valued Laplace transforms and Cauchy problems Wolfgang Arendt ... |
| title_short | Vector-valued Laplace transforms and Cauchy problems |
| title_sort | vector valued laplace transforms and cauchy problems |
| topic | Cauchy, Problème de Laplace, Transformation de Laplace-transformaties gtt Probleem van Cauchy gtt Vectoren (wiskunde) gtt Cauchy problem Laplace transformation Laplace-Transformation (DE-588)4034577-4 gnd Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| topic_facet | Cauchy, Problème de Laplace, Transformation de Laplace-transformaties Probleem van Cauchy Vectoren (wiskunde) Cauchy problem Laplace transformation Laplace-Transformation Cauchy-Anfangswertproblem Evolutionsgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009303838&sequence=000003&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=009303838&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000008284 |
| work_keys_str_mv | AT arendtwolfgang vectorvaluedlaplacetransformsandcauchyproblems |