The Laplacian with general Robin boundary conditions:
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| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
2002
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Ulm, Univ., Diss., 2002. - Enth. Zsfassung in dt. Sprache |
| Physical Description: | 169 S. Ill. |
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MARC
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| 007 | t | ||
| 008 | 021002s2002 a||| m||| 00||| eng d | ||
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| 049 | |a DE-355 |a DE-29T |a DE-188 | ||
| 100 | 1 | |a Warma, Mahamadi |d 1967- |e Verfasser |0 (DE-588)123981484 |4 aut | |
| 245 | 1 | 0 | |a The Laplacian with general Robin boundary conditions |c von Mahamadi Warma |
| 264 | 1 | |c 2002 | |
| 300 | |a 169 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Ulm, Univ., Diss., 2002. - Enth. Zsfassung in dt. Sprache | ||
| 502 | |a Ulm, Univ., Diss., 2002 | ||
| 650 | 7 | |a Hochschulschrift |2 gtt | |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Robin-Randwertproblem |0 (DE-588)4708822-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Laplace-Operator |0 (DE-588)4166772-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kapazität |g Mathematik |0 (DE-588)4163239-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Laplace-Operator |0 (DE-588)4166772-4 |D s |
| 689 | 0 | 1 | |a Kapazität |g Mathematik |0 (DE-588)4163239-4 |D s |
| 689 | 0 | 2 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Laplace-Operator |0 (DE-588)4166772-4 |D s |
| 689 | 1 | 1 | |a Robin-Randwertproblem |0 (DE-588)4708822-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 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=010001646&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-010001646 | |
Record in the Search Index
| _version_ | 1807229107494191104 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION
7
1
BASIC
NOTIONS
OF
FUNCTIONAL
ANALYSIS
13
1.1
MEASURE
THEORY.
.
13
1.2
BANACH
LATTICES
.
16
1.3
SEMIGROUPS
GENERATED
BY
DIRICHLET
FORMS
.
17
I
GENERAL
ROBIN
BOUNDARY
CONDITIONS
ON
ARBITRARY
DOMAINS
25
2
CLASSICAL
AND
RELATIVE
CAPACITIES
37
2.1
CLASSICAL
CAPACITY.
.
27
2.2
RELATIVE
CAPACITY.
.
30
2.3
RELATION
BETWEEN
THE
TWO
NOTIONS
OF
CAPACITY.
.
37
2.4
ANOTHER
CHARACTERIZATION
OF
FFO
(FT)
.
44
2.5
COMMENTS
.
45
3
GENERAL
BOUNDARY
CONDITIONS
FOR
THE
LAPLACIAN
47
3.1
PRESENTATION
OF
THE
PROBLEM
.
47
3.2
CLOSABLE
PART
BY
REED-SIMON
'
S
METHOD
.
48
3.3
RELATIVE
CAPACITY
AND
CLOSABILITY.
.
53
3.4
SOME
PROPERTIES
OF
.
61
3.5
CONVERGENCE
OF
FORMS
.
76
3.6
COMMENTS
.
81
4
ROBIN
AND
NEUMANN
BOUNDARY
CONDITIONS
85
4.1
MAZ
'
YA
INEQUALITY
.
85
4.2
THE
LAPLACIAN
WITH
ROBIN
BOUNDARY
CONDITIONS
.
93
A.
THE
EMBEDDING
DQ)
INTO
L&
(FI)
IS
NOT
ALWAYS INJECTIVE.
94
B.
CHARACTERIZATION
OF
THE
DOMAIN
OF
AN
.
94
C.
KERNEL
ESTIMATES
AND
P-INDEPENDENCE
OF
THE
SPECTRUM
.
101
4.3
THE
LAPLACIAN
WITH
NEUMANN
BOUNDARY
CONDITIONS
.
110
5
6
CONTENTS
A.
CHARACTERIZATION
OF
THE
DOMAIN
OF
AJV
FOR
LIPSCHITZ
DOMAINS.
.
110
B.
THE
OPERATOR
E*
A
*
IS
ALWAYS
A
KERNEL
OPERATOR^
.
ILL
C.
CONTINUITY
AND
COMPACTNESS
OF
THE
EMBEDDING
H
1
(Q)
INTO
L
P
(Q).113
4.4
COMMENTS
.
117
II
ROBIN
AND
WENTZELL-ROBIN
LAPLACIAN
ON
C(Q)
119
5
THE
ROBIN
LAPLACIAN
ON
C(Q)
121
5.1
PRELIMINARY
RESULTS
.
122
5.2
HOLDER
CONTINUITY
OF
WEAK
SOLUTIONS
.
125
5.3
RESOLVENT
POSITIVE
OPERATOR
.
143
6
WENTZELL-ROBIN
BOUNDARY
CONDITIONS
ON
C[0,
1]
149
6.1
INTERMEDIATE
RESULTS
.
149
6.2
HOLOMORPHY.
.
153
INDEXES
155
BIBLIOGRAPHY
.
157
INDEX
.
163 |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV014772095 |
| illustrated | Illustrated |
| indexdate | 2024-08-13T00:13:03Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010001646 |
| oclc_num | 51696679 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-29T DE-188 |
| owner_facet | DE-355 DE-BY-UBR DE-29T DE-188 |
| physical | 169 S. Ill. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| record_format | marc |
| spelling | Warma, Mahamadi 1967- Verfasser (DE-588)123981484 aut The Laplacian with general Robin boundary conditions von Mahamadi Warma 2002 169 S. Ill. txt rdacontent n rdamedia nc rdacarrier Ulm, Univ., Diss., 2002. - Enth. Zsfassung in dt. Sprache Ulm, Univ., Diss., 2002 Hochschulschrift gtt Randwertproblem (DE-588)4048395-2 gnd rswk-swf Robin-Randwertproblem (DE-588)4708822-9 gnd rswk-swf Laplace-Operator (DE-588)4166772-4 gnd rswk-swf Kapazität Mathematik (DE-588)4163239-4 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Laplace-Operator (DE-588)4166772-4 s Kapazität Mathematik (DE-588)4163239-4 s Randwertproblem (DE-588)4048395-2 s DE-604 Robin-Randwertproblem (DE-588)4708822-9 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010001646&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Warma, Mahamadi 1967- The Laplacian with general Robin boundary conditions Hochschulschrift gtt Randwertproblem (DE-588)4048395-2 gnd Robin-Randwertproblem (DE-588)4708822-9 gnd Laplace-Operator (DE-588)4166772-4 gnd Kapazität Mathematik (DE-588)4163239-4 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4708822-9 (DE-588)4166772-4 (DE-588)4163239-4 (DE-588)4113937-9 |
| title | The Laplacian with general Robin boundary conditions |
| title_auth | The Laplacian with general Robin boundary conditions |
| title_exact_search | The Laplacian with general Robin boundary conditions |
| title_full | The Laplacian with general Robin boundary conditions von Mahamadi Warma |
| title_fullStr | The Laplacian with general Robin boundary conditions von Mahamadi Warma |
| title_full_unstemmed | The Laplacian with general Robin boundary conditions von Mahamadi Warma |
| title_short | The Laplacian with general Robin boundary conditions |
| title_sort | the laplacian with general robin boundary conditions |
| topic | Hochschulschrift gtt Randwertproblem (DE-588)4048395-2 gnd Robin-Randwertproblem (DE-588)4708822-9 gnd Laplace-Operator (DE-588)4166772-4 gnd Kapazität Mathematik (DE-588)4163239-4 gnd |
| topic_facet | Hochschulschrift Randwertproblem Robin-Randwertproblem Laplace-Operator Kapazität Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010001646&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT warmamahamadi thelaplacianwithgeneralrobinboundaryconditions |