Operator methods for boundary value problems:
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | London Mathematical Society lecture note series
404 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 298 S. Ill. |
| ISBN: | 9781107606111 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV040519932 | ||
| 003 | DE-604 | ||
| 005 | 20130109 | ||
| 007 | t | ||
| 008 | 121105s2012 a||| |||| 00||| eng d | ||
| 020 | |a 9781107606111 |c pbk. |9 978-1-107-60611-1 | ||
| 024 | 3 | |a 9781107606111 | |
| 035 | |a (OCoLC)816349988 | ||
| 035 | |a (DE-599)BSZ37249756X | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-91G |a DE-384 |a DE-19 | ||
| 084 | |a SI 320 |0 (DE-625)143123: |2 rvk | ||
| 084 | |a SK 620 |0 (DE-625)143249: |2 rvk | ||
| 084 | |a MAT 470f |2 stub | ||
| 084 | |a MAT 354f |2 stub | ||
| 245 | 1 | 0 | |a Operator methods for boundary value problems |c [ed. by] Seppo Hassi ... |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Cambridge [u.a.] |b Cambridge Univ. Press |c 2012 | |
| 300 | |a XII, 298 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 404 | |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |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 Operatortheorie |0 (DE-588)4075665-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Operatortheorie |0 (DE-588)4075665-8 |D s |
| 689 | 0 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 2 | |a Partielle Differentialgleichung |0 (DE-588)4044779-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Hassi, Seppo |0 (DE-588)1033015318 |4 edt | |
| 830 | 0 | |a London Mathematical Society lecture note series |v 404 |w (DE-604)BV000000130 |9 404 | |
| 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=025366249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-025366249 | ||
Datensatz im Suchindex
| _version_ | 1804149601199980544 |
|---|---|
| adam_text | Titel: Operator methods for boundary value problems
Autor: Hassi, Seppo
Jahr: 2012
Contents List of contributors page vii Preface ix 1 John Williams Calkin: a short biography S. Hassi, H.S.V. de Snoo and F.H. Szafraniec 1 2 On Calkin’s abstract symmetric boundary conditions S. Hassi and H.L. Wietsma 3 2.1 Introduction 3 2.2 Preliminaries 5 2.3 Reduction operators 10 2.4 Maximal symmetric extensions and unbounded reduction operators 23 3 Boundary triplets and maximal accretive extensions of sectorial operators Y. Arlinskii 35 3.1 Introduction 35 3.2 Preliminaries 38 3.3 Friedrichs and Krem-von Neumann extensions 43 3.4 Boundary pairs and closed forms associated with m-sectorial extensions 45 3.5 Boundary triplets and m-accretive extensions 47 3.6 Wp- and Qp-functions 52 3.7 Realization of the Phillips boundary space 54 3.8 Vishik-Birman-Grubb type formulas 55 3.9 m-sectorial extensions via fractional-linear transformations 57 3.10 Sectorial operators in divergence form 60 4 Boundary control state/signal systems and boundary triplets D.Z. Arov, M. Kwrula and O.J. Staffans 73
VI Contents 4.1 Introduction 73 4.2 Boundary control systems 74 4.3 Conservative state/signal systems in boundary control 76 4.4 An example: the transmission line 78 4.5 The connection to boundary triplets 81 Passive state/signal systems and conservative bound- ary relations D.Z. Arov, M. Kurula and O.J. Staffans 87 5.1 Introduction 87 5.2 Continuous-time state/signal systems 88 5.3 Passive and conservative state/signal systems 94 5.4 The frequency domain characteristics of a s/s system 104 5.5 Conservative boundary relations 107 5.6 Conclusions 116 Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples J. Behrndt and M. Langer 121 6.1 Introduction 121 6.2 Boundary triples and Weyl functions for ordinary and partial differential operators 126 6.3 Quasi boundary triples and their Weyl functions 135 6.4 Quasi boundary triples for elliptic operators and Dirichlet-to-Neumann maps 147 Boundary triplets and Weyl functions. Recent develop- ments V.A. Derkach, S. Hassi, M.M. Malamud and H.S.V. de Snoo 161 7.1 Introduction 161 7.2 Preliminaries 165 7.3 Ordinary boundary triplets 172 7.4 Boundary triplets of bounded type 175 7.5 Boundary triplets of bounded type and infinite dimensional graph perturbations 184 7.6 Unitary boundary relations and Weyl families 188 7.7 Generalized resolvents and unitary boundary triplets 201 7.8 Isometric boundary mappings 205 Extension theory for elliptic partial differential operators with pseudodifferential methods G. Grubb 221 8.1 Introduction 221 8.2 Elliptic boundary value problems 222 8.3 Pseudodifferential operators 226
Contents vii 8.4 Pseudodifferential boundary operators 228 8.5 Extension theories 232 8.6 Implementation of the abstract set-up for elliptic operators 237 8.7 Resolvent formulas 243 8.8 Applications of pseudodifferential methods I: Conditions for lower boundedness 244 8.9 Applications of pseudodifferential methods II: Spectral asymptotics 247 8.10 New spectral results 251 9 Dirac structures and boundary relations S. Hassi, A.J. van der Schaft, H.S.V. de Snoo and H.J. Zwart 259 9.1 Introduction 259 9.2 Linear relations in Hilbert and Krein spaces 259 9.3 Linear relations in product spaces 263 9.4 The connections between various structures 268 9.5 Weyl families and transfer functions 271 10 Naimark dilations and Naimark extensions in favour of moment problems F.H. Szafraniec 275 10.1 Dilations and extensions 276 10.2 The example 287
|
| any_adam_object | 1 |
| author2 | Hassi, Seppo |
| author2_role | edt |
| author2_variant | s h sh |
| author_GND | (DE-588)1033015318 |
| author_facet | Hassi, Seppo |
| building | Verbundindex |
| bvnumber | BV040519932 |
| classification_rvk | SI 320 SK 620 |
| classification_tum | MAT 470f MAT 354f |
| ctrlnum | (OCoLC)816349988 (DE-599)BSZ37249756X |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01788nam a2200445 cb4500</leader><controlfield tag="001">BV040519932</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20130109 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">121105s2012 a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781107606111</subfield><subfield code="c">pbk.</subfield><subfield code="9">978-1-107-60611-1</subfield></datafield><datafield tag="024" ind1="3" ind2=" "><subfield code="a">9781107606111</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)816349988</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BSZ37249756X</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</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-384</subfield><subfield code="a">DE-19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 320</subfield><subfield code="0">(DE-625)143123:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 620</subfield><subfield code="0">(DE-625)143249:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 470f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 354f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Operator methods for boundary value problems</subfield><subfield code="c">[ed. by] Seppo Hassi ...</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. publ.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge [u.a.]</subfield><subfield code="b">Cambridge Univ. Press</subfield><subfield code="c">2012</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 298 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="1" ind2=" "><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">404</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</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">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Operatortheorie</subfield><subfield code="0">(DE-588)4075665-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Randwertproblem</subfield><subfield code="0">(DE-588)4048395-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Partielle Differentialgleichung</subfield><subfield code="0">(DE-588)4044779-0</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">Hassi, Seppo</subfield><subfield code="0">(DE-588)1033015318</subfield><subfield code="4">edt</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">London Mathematical Society lecture note series</subfield><subfield code="v">404</subfield><subfield code="w">(DE-604)BV000000130</subfield><subfield code="9">404</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=025366249&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:BVB01-025366249</subfield></datafield></record></collection> |
| id | DE-604.BV040519932 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:25:37Z |
| institution | BVB |
| isbn | 9781107606111 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025366249 |
| oclc_num | 816349988 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-384 DE-19 DE-BY-UBM |
| owner_facet | DE-91G DE-BY-TUM DE-384 DE-19 DE-BY-UBM |
| physical | XII, 298 S. Ill. |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society lecture note series |
| series2 | London Mathematical Society lecture note series |
| spelling | Operator methods for boundary value problems [ed. by] Seppo Hassi ... 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 XII, 298 S. Ill. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 404 Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Operatortheorie (DE-588)4075665-8 gnd rswk-swf Operatortheorie (DE-588)4075665-8 s Randwertproblem (DE-588)4048395-2 s Partielle Differentialgleichung (DE-588)4044779-0 s DE-604 Hassi, Seppo (DE-588)1033015318 edt London Mathematical Society lecture note series 404 (DE-604)BV000000130 404 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025366249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Operator methods for boundary value problems London Mathematical Society lecture note series Randwertproblem (DE-588)4048395-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Operatortheorie (DE-588)4075665-8 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4044779-0 (DE-588)4075665-8 |
| title | Operator methods for boundary value problems |
| title_auth | Operator methods for boundary value problems |
| title_exact_search | Operator methods for boundary value problems |
| title_full | Operator methods for boundary value problems [ed. by] Seppo Hassi ... |
| title_fullStr | Operator methods for boundary value problems [ed. by] Seppo Hassi ... |
| title_full_unstemmed | Operator methods for boundary value problems [ed. by] Seppo Hassi ... |
| title_short | Operator methods for boundary value problems |
| title_sort | operator methods for boundary value problems |
| topic | Randwertproblem (DE-588)4048395-2 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Operatortheorie (DE-588)4075665-8 gnd |
| topic_facet | Randwertproblem Partielle Differentialgleichung Operatortheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025366249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT hassiseppo operatormethodsforboundaryvalueproblems |