Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds:
Gespeichert in:
| Beteiligte Personen: | , , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Providence, Rhode Island
American Mathematical Society
2001
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
713 |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009330019&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | "Volume 150, number 713 (fourth of 5 numbers)." |
| Umfang: | VIII, 120 S. |
| ISBN: | 082182659X |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013655529 | ||
| 003 | DE-604 | ||
| 005 | 20230629 | ||
| 007 | t| | ||
| 008 | 010327s2001 xx |||| 00||| eng d | ||
| 020 | |a 082182659X |9 0-8218-2659-X | ||
| 035 | |a (OCoLC)45393242 | ||
| 035 | |a (DE-599)BVBBV013655529 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-739 |a DE-91G |a DE-355 |a DE-29T |a DE-703 |a DE-83 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 516.3/73 |2 21 | |
| 082 | 0 | |a 510 |2 21 | |
| 084 | |a SI 130 |0 (DE-625)143082: |2 rvk | ||
| 084 | |a MAT 537f |2 stub | ||
| 084 | |a MAT 671f |2 stub | ||
| 100 | 1 | |a Mitrea, Dorina |d 1965- |e Verfasser |0 (DE-588)140077642 |4 aut | |
| 245 | 1 | 0 | |a Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds |c Dorina Mitrea ; Marius Mitrea ; Michael Taylor |
| 264 | 1 | |a Providence, Rhode Island |b American Mathematical Society |c 2001 | |
| 300 | |a VIII, 120 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 713 | |
| 500 | |a "Volume 150, number 713 (fourth of 5 numbers)." | ||
| 650 | 7 | |a Randwaardeproblemen |2 gtt | |
| 650 | 7 | |a Riemann-vlakken |2 gtt | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Differential equations, Elliptic |x Numerical solutions | |
| 650 | 4 | |a Riemannian manifolds | |
| 650 | 0 | 7 | |a Randwertproblem |0 (DE-588)4048395-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Riemannscher Raum |0 (DE-588)4128295-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Riemannscher Raum |0 (DE-588)4128295-4 |D s |
| 689 | 0 | 1 | |a Randwertproblem |0 (DE-588)4048395-2 |D s |
| 689 | 0 | 2 | |a Elliptische Differentialgleichung |0 (DE-588)4014485-9 |D s |
| 689 | 0 | 3 | |a Numerisches Verfahren |0 (DE-588)4128130-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Mitrea, Marius |e Verfasser |0 (DE-588)1026933625 |4 aut | |
| 700 | 1 | |a Taylor, Michael Eugene |d 1946- |e Verfasser |0 (DE-588)123980119 |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 713 |w (DE-604)BV008000141 |9 713 | |
| 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=009330019&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-009330019 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 990-713 |
|---|---|
| DE-BY-TUM_katkey | 1193271 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010595165 |
| _version_ | 1821932447124684801 |
| adam_text | Contents
Introduction 1
Chapter 1. Singular integrals on Lipschitz submanifolds of codimension one 6
Chapter 2. Estimates on fundamental solutions 12
Chapter 3. General second order strongly elliptic systems 27
Chapter 4. The Dirichlet problem for the Hodge Laplacian and related
operators 39
Chapter 5. Natural boundary problems for the Hodge Laplacian in Lipschitz
domains 45
Chapter 6. Layer potential operators on Lipschitz domains 54
Chapter 7. Rellich type estimates for differential forms 60
Chapter 8. Fredholm properties of boundary integral operators on regular
spaces 64
Chapter 9. Weak extensions of boundary derivative operators 71
Chapter 10. Localization arguments and the end of the proof of Theorem
6.2 77
Chapter 11. Harmonic fields on Lipschitz domains 84
Chapter 12. The proofs of the Theorems 5.1 5.5 91
Chapter 13. The proofs of the auxiliary lemmas 98
Chapter 14. Applications to Maxwell s equations on Lipschitz domains 104
Appendix A. Analysis on Lipschitz manifolds 108
Appendix B. The connection between d# and dc )n 113
Bibliography 117
vii
|
| any_adam_object | 1 |
| author | Mitrea, Dorina 1965- Mitrea, Marius Taylor, Michael Eugene 1946- |
| author_GND | (DE-588)140077642 (DE-588)1026933625 (DE-588)123980119 |
| author_facet | Mitrea, Dorina 1965- Mitrea, Marius Taylor, Michael Eugene 1946- |
| author_role | aut aut aut |
| author_sort | Mitrea, Dorina 1965- |
| author_variant | d m dm m m mm m e t me met |
| building | Verbundindex |
| bvnumber | BV013655529 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 130 |
| classification_tum | MAT 537f MAT 671f |
| ctrlnum | (OCoLC)45393242 (DE-599)BVBBV013655529 |
| dewey-full | 516.3/73 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516.3/73 510 |
| dewey-search | 516.3/73 510 |
| dewey-sort | 3516.3 273 |
| 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>02531nam a2200565 cb4500</leader><controlfield tag="001">BV013655529</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20230629 </controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">010327s2001 xx |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">082182659X</subfield><subfield code="9">0-8218-2659-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)45393242</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013655529</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-739</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/73</subfield><subfield code="2">21</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 130</subfield><subfield code="0">(DE-625)143082:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 537f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 671f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Mitrea, Dorina</subfield><subfield code="d">1965-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)140077642</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds</subfield><subfield code="c">Dorina Mitrea ; Marius Mitrea ; Michael Taylor</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">2001</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 120 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">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">713</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"Volume 150, number 713 (fourth of 5 numbers)."</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Randwaardeproblemen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Riemann-vlakken</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Boundary value problems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential equations, Elliptic</subfield><subfield code="x">Numerical solutions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Riemannian manifolds</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">Elliptische Differentialgleichung</subfield><subfield code="0">(DE-588)4014485-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Riemannscher Raum</subfield><subfield code="0">(DE-588)4128295-4</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">Elliptische Differentialgleichung</subfield><subfield code="0">(DE-588)4014485-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Numerisches Verfahren</subfield><subfield code="0">(DE-588)4128130-5</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">Mitrea, Marius</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1026933625</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Taylor, Michael Eugene</subfield><subfield code="d">1946-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)123980119</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">713</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">713</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=009330019&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009330019</subfield></datafield></record></collection> |
| id | DE-604.BV013655529 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T10:51:16Z |
| institution | BVB |
| isbn | 082182659X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009330019 |
| oclc_num | 45393242 |
| open_access_boolean | |
| owner | DE-739 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-703 DE-83 DE-188 |
| owner_facet | DE-739 DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-29T DE-703 DE-83 DE-188 |
| physical | VIII, 120 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spellingShingle | Mitrea, Dorina 1965- Mitrea, Marius Taylor, Michael Eugene 1946- Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds American Mathematical Society: Memoirs of the American Mathematical Society Randwaardeproblemen gtt Riemann-vlakken gtt Boundary value problems Differential equations, Elliptic Numerical solutions Riemannian manifolds Randwertproblem (DE-588)4048395-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Riemannscher Raum (DE-588)4128295-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| subject_GND | (DE-588)4048395-2 (DE-588)4014485-9 (DE-588)4128295-4 (DE-588)4128130-5 |
| title | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds |
| title_auth | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds |
| title_exact_search | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds |
| title_full | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds Dorina Mitrea ; Marius Mitrea ; Michael Taylor |
| title_fullStr | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds Dorina Mitrea ; Marius Mitrea ; Michael Taylor |
| title_full_unstemmed | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds Dorina Mitrea ; Marius Mitrea ; Michael Taylor |
| title_short | Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds |
| title_sort | layer potentials the hodge laplacian and global boundary problems in nonsmooth riemannian manifolds |
| topic | Randwaardeproblemen gtt Riemann-vlakken gtt Boundary value problems Differential equations, Elliptic Numerical solutions Riemannian manifolds Randwertproblem (DE-588)4048395-2 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Riemannscher Raum (DE-588)4128295-4 gnd Numerisches Verfahren (DE-588)4128130-5 gnd |
| topic_facet | Randwaardeproblemen Riemann-vlakken Boundary value problems Differential equations, Elliptic Numerical solutions Riemannian manifolds Randwertproblem Elliptische Differentialgleichung Riemannscher Raum Numerisches Verfahren |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009330019&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT mitreadorina layerpotentialsthehodgelaplacianandglobalboundaryproblemsinnonsmoothriemannianmanifolds AT mitreamarius layerpotentialsthehodgelaplacianandglobalboundaryproblemsinnonsmoothriemannianmanifolds AT taylormichaeleugene layerpotentialsthehodgelaplacianandglobalboundaryproblemsinnonsmoothriemannianmanifolds |
Inhaltsverzeichnis
Paper/Kapitel scannen lassen
Paper/Kapitel scannen lassen
Teilbibliothek Mathematik & Informatik
| Signatur: |
0102 MAT 001z 2001 B 990-713
Lageplan |
|---|---|
| Exemplar 1 | Ausleihbar Am Standort |