Vector-valued Laplace transforms and Cauchy problems:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Basel [u.a.]
Birkhäuser
2001
|
| Series: | Monographs in mathematics
96 |
| Subjects: | |
| Online Access: | Klappentext Inhaltsverzeichnis |
| Physical Description: | XI, 523 S. |
| ISBN: | 3764365498 9783764365493 0817665498 |
Staff View
MARC
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| 245 | 1 | 0 | |a Vector-valued Laplace transforms and Cauchy problems |c Wolfgang Arendt ... |
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Record in the Search Index
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| 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 |
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| dewey-sort | 3515 3723 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013617204 |
| illustrated | Not Illustrated |
| indexdate | 2024-09-10T00:55:28Z |
| institution | BVB |
| isbn | 3764365498 9783764365493 0817665498 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009303838 |
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| physical | XI, 523 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Monographs in mathematics |
| series2 | Monographs in mathematics |
| spelling | Vector-valued Laplace transforms and Cauchy problems Wolfgang Arendt ... Basel [u.a.] Birkhäuser 2001 XI, 523 S. txt rdacontent n rdamedia nc rdacarrier Monographs in mathematics 96 Cauchy, Problème de Laplace, Transformation de Laplace-transformaties gtt Probleem van Cauchy gtt Vectoren (wiskunde) gtt Cauchy problem Laplace transformation Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd rswk-swf Laplace-Transformation (DE-588)4034577-4 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Evolutionsgleichung (DE-588)4129061-6 s Laplace-Transformation (DE-588)4034577-4 s Cauchy-Anfangswertproblem (DE-588)4147404-1 s DE-604 Arendt, Wolfgang Sonstige oth Monographs in mathematics 96 (DE-604)BV000008284 96 Digitalisierung UB Augsburg application/pdf 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 Klappentext Digitalisierung UB Augsburg application/pdf 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 Inhaltsverzeichnis |
| 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 Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Laplace-Transformation (DE-588)4034577-4 gnd Evolutionsgleichung (DE-588)4129061-6 gnd |
| subject_GND | (DE-588)4147404-1 (DE-588)4034577-4 (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 Cauchy-Anfangswertproblem (DE-588)4147404-1 gnd Laplace-Transformation (DE-588)4034577-4 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 Cauchy-Anfangswertproblem Laplace-Transformation 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 |
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