Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds:
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
2001
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
713 |
| Subjects: | |
| 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 |
| Item Description: | "Volume 150, number 713 (fourth of 5 numbers)." |
| Physical Description: | VIII, 120 S. |
| ISBN: | 082182659X |
Staff View
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| 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 | |
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 713 | |
| 500 | |a "Volume 150, number 713 (fourth of 5 numbers)." | ||
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| 650 | 7 | |a Riemann-vlakken |2 gtt | |
| 650 | 4 | |a Boundary value problems | |
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Record in the Search Index
| 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
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| 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- |
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| 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 |
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| 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 | |
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| 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 |
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| Call Number: |
0102 MAT 001z 2001 B 990-713
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| Copy 1 | Available for loan On Shelf |