A spectral theoretic approach to a class of semilinear eigenvalue problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Giessen
Selbstverl. des Math. Inst.
2005
|
| Schriftenreihe: | Mitteilungen aus dem Mathematischen Seminar Giessen
258 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Vollst. zugl.: Mainz, Univ., Diss., 2001 u.d.T.: Weth, Tobias: Spectral and variational characterizations of solutions to semilinear eigenvalue problems |
| Beschreibung: | 68 S. graph. Darst. |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV021599180 | ||
| 003 | DE-604 | ||
| 005 | 20220728 | ||
| 007 | t | ||
| 008 | 060530s2005 d||| m||| 00||| eng d | ||
| 035 | |a (OCoLC)69243589 | ||
| 035 | |a (DE-599)BVBBV021599180 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-703 | ||
| 084 | |a SI 345 |0 (DE-625)143126: |2 rvk | ||
| 100 | 1 | |a Weth, Tobias |d 1974- |e Verfasser |0 (DE-588)123556899 |4 aut | |
| 245 | 1 | 0 | |a A spectral theoretic approach to a class of semilinear eigenvalue problems |c Tobias Weth |
| 264 | 1 | |a Giessen |b Selbstverl. des Math. Inst. |c 2005 | |
| 300 | |a 68 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mitteilungen aus dem Mathematischen Seminar Giessen |v 258 | |
| 500 | |a Vollst. zugl.: Mainz, Univ., Diss., 2001 u.d.T.: Weth, Tobias: Spectral and variational characterizations of solutions to semilinear eigenvalue problems | ||
| 650 | 4 | |a Eigenvalues | |
| 650 | 4 | |a Nonlinear boundary value problems | |
| 650 | 4 | |a Spectral theory (Mathematics) | |
| 650 | 0 | 7 | |a Spektraltheorie |0 (DE-588)4116561-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Semilineares Eigenwertproblem |0 (DE-588)7529854-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4113937-9 |a Hochschulschrift |2 gnd-content | |
| 689 | 0 | 0 | |a Semilineares Eigenwertproblem |0 (DE-588)7529854-5 |D s |
| 689 | 0 | 1 | |a Spektraltheorie |0 (DE-588)4116561-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 830 | 0 | |a Mitteilungen aus dem Mathematischen Seminar Giessen |v 258 |w (DE-604)BV011500117 |9 258 | |
| 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=014814542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014814542 | ||
Datensatz im Suchindex
| _version_ | 1804135380359839744 |
|---|---|
| adam_text | Titel: A spectral theoretic approach to a class of semilinear eigenvalue problems
Autor: Weth, Tobias
Jahr: 2005
A spectral theoretic approach to semilinear eigenvalue problems
Contents
1. Introduction 3
1.1. General definitions and notation 7
2. Topological properties of families of subspaces 8
2.1. The Grassmannian manifold and relatively compact subsets 8
2.2. The Krasnoselski genus of fixed point sets 11
3. Uniform perturbation theory for self adjoint operators 17
3.1. Families of form compact perturbations 18
3.2. Remarks on the bounded case 23
4. A spectral characterization problem 24
5. Abstract sublinear equations 27
5.1. Spectrally characterized solutions with prescribed norm 29
5.2. Spectrally characterized solutions with prescribed eigenvalue 31
6. Abstract superlinear equations 35
6.1. Spectrally characterized solutions with prescribed norm 36
6.2. Spectrally characterized solutions with prescribed eigenvalue 40
7. Periodic solutions of a nonlinear Hill s equation 52
7.1. The sublinear case 54
7.2. The superlinear case 56
8. Remarks on nonlinear Sturm-Liouville problems and characteristic
numbers 63
References 66
List of symbols 68
Abstract conditions and properties 68
|
| adam_txt |
Titel: A spectral theoretic approach to a class of semilinear eigenvalue problems
Autor: Weth, Tobias
Jahr: 2005
A spectral theoretic approach to semilinear eigenvalue problems
Contents
1. Introduction 3
1.1. General definitions and notation 7
2. Topological properties of families of subspaces 8
2.1. The Grassmannian manifold and relatively compact subsets 8
2.2. The Krasnoselski genus of fixed point sets 11
3. Uniform perturbation theory for self adjoint operators 17
3.1. Families of form compact perturbations 18
3.2. Remarks on the bounded case 23
4. A spectral characterization problem 24
5. Abstract sublinear equations 27
5.1. Spectrally characterized solutions with prescribed norm 29
5.2. Spectrally characterized solutions with prescribed eigenvalue 31
6. Abstract superlinear equations 35
6.1. Spectrally characterized solutions with prescribed norm 36
6.2. Spectrally characterized solutions with prescribed eigenvalue 40
7. Periodic solutions of a nonlinear Hill's equation 52
7.1. The sublinear case 54
7.2. The superlinear case 56
8. Remarks on nonlinear Sturm-Liouville problems and characteristic
numbers 63
References 66
List of symbols 68
Abstract conditions and properties 68 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Weth, Tobias 1974- |
| author_GND | (DE-588)123556899 |
| author_facet | Weth, Tobias 1974- |
| author_role | aut |
| author_sort | Weth, Tobias 1974- |
| author_variant | t w tw |
| building | Verbundindex |
| bvnumber | BV021599180 |
| classification_rvk | SI 345 |
| ctrlnum | (OCoLC)69243589 (DE-599)BVBBV021599180 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01852nam a2200409 cb4500</leader><controlfield tag="001">BV021599180</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20220728 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">060530s2005 d||| m||| 00||| eng d</controlfield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)69243589</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021599180</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 345</subfield><subfield code="0">(DE-625)143126:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Weth, Tobias</subfield><subfield code="d">1974-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123556899</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A spectral theoretic approach to a class of semilinear eigenvalue problems</subfield><subfield code="c">Tobias Weth</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Giessen</subfield><subfield code="b">Selbstverl. des Math. Inst.</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">68 S.</subfield><subfield code="b">graph. Darst.</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">Mitteilungen aus dem Mathematischen Seminar Giessen</subfield><subfield code="v">258</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Vollst. zugl.: Mainz, Univ., Diss., 2001 u.d.T.: Weth, Tobias: Spectral and variational characterizations of solutions to semilinear eigenvalue problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Eigenvalues</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonlinear boundary value problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spectral theory (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Semilineares Eigenwertproblem</subfield><subfield code="0">(DE-588)7529854-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Semilineares Eigenwertproblem</subfield><subfield code="0">(DE-588)7529854-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Spektraltheorie</subfield><subfield code="0">(DE-588)4116561-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Mitteilungen aus dem Mathematischen Seminar Giessen</subfield><subfield code="v">258</subfield><subfield code="w">(DE-604)BV011500117</subfield><subfield code="9">258</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=014814542&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:BVB01-014814542</subfield></datafield></record></collection> |
| genre | (DE-588)4113937-9 Hochschulschrift gnd-content |
| genre_facet | Hochschulschrift |
| id | DE-604.BV021599180 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:47:02Z |
| indexdate | 2024-07-09T20:39:35Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014814542 |
| oclc_num | 69243589 |
| open_access_boolean | |
| owner | DE-384 DE-703 |
| owner_facet | DE-384 DE-703 |
| physical | 68 S. graph. Darst. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Selbstverl. des Math. Inst. |
| record_format | marc |
| series | Mitteilungen aus dem Mathematischen Seminar Giessen |
| series2 | Mitteilungen aus dem Mathematischen Seminar Giessen |
| spelling | Weth, Tobias 1974- Verfasser (DE-588)123556899 aut A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth Giessen Selbstverl. des Math. Inst. 2005 68 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mitteilungen aus dem Mathematischen Seminar Giessen 258 Vollst. zugl.: Mainz, Univ., Diss., 2001 u.d.T.: Weth, Tobias: Spectral and variational characterizations of solutions to semilinear eigenvalue problems Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Semilineares Eigenwertproblem (DE-588)7529854-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Semilineares Eigenwertproblem (DE-588)7529854-5 s Spektraltheorie (DE-588)4116561-5 s DE-604 Mitteilungen aus dem Mathematischen Seminar Giessen 258 (DE-604)BV011500117 258 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014814542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weth, Tobias 1974- A spectral theoretic approach to a class of semilinear eigenvalue problems Mitteilungen aus dem Mathematischen Seminar Giessen Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Semilineares Eigenwertproblem (DE-588)7529854-5 gnd |
| subject_GND | (DE-588)4116561-5 (DE-588)7529854-5 (DE-588)4113937-9 |
| title | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_auth | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_exact_search | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_exact_search_txtP | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_full | A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth |
| title_fullStr | A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth |
| title_full_unstemmed | A spectral theoretic approach to a class of semilinear eigenvalue problems Tobias Weth |
| title_short | A spectral theoretic approach to a class of semilinear eigenvalue problems |
| title_sort | a spectral theoretic approach to a class of semilinear eigenvalue problems |
| topic | Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie (DE-588)4116561-5 gnd Semilineares Eigenwertproblem (DE-588)7529854-5 gnd |
| topic_facet | Eigenvalues Nonlinear boundary value problems Spectral theory (Mathematics) Spektraltheorie Semilineares Eigenwertproblem Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014814542&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV011500117 |
| work_keys_str_mv | AT wethtobias aspectraltheoreticapproachtoaclassofsemilineareigenvalueproblems |