Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds /
Introduction Singular integrals on Lipschitz submanifolds of codimension one Estimates on fundamental solutions General second-order strongly elliptic systems The Dirichlet problem for the Hodge Laplacian and related operators Natural boundary problems for the Hodge Laplacian in Lipschitz domains La...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
2001.
|
| Series: | Memoirs of the American Mathematical Society ;
no. 713. |
| Subjects: | |
| Online Access: | Full text (Emerson users only) Full text (Emmanuel users only) Full text (NECO users only) Full text (MCPHS users only) Full text (Wentworth users only) |
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | 009948cb-611c-44f7-9134-4cdbbf699d66 | ||
| 005 | 20240829000000.0 | ||
| 008 | 130627s2001 riu ob 000 0 eng d | ||
| 019 | |a 908039938 |a 922965054 | ||
| 020 | |a 9781470403065 |q (electronic bk.) | ||
| 020 | |a 1470403064 |q (electronic bk.) | ||
| 020 | |z 9780821826591 | ||
| 020 | |z 082182659X | ||
| 029 | 1 | |a AU@ |b 000069468468 | |
| 035 | |a (OCoLC)851088641 |z (OCoLC)908039938 |z (OCoLC)922965054 | ||
| 035 | |a (OCoLC)ocn851088641 | ||
| 040 | |a GZM |b eng |e pn |c GZM |d OCLCO |d COO |d UIU |d OCLCF |d LLB |d OKU |d E7B |d OCLCQ |d EBLCP |d YDXCP |d N$T |d OCLCQ |d OCLCA |d CUI |d OCLCQ |d STF |d LEAUB |d AU@ |d UKAHL |d OCLCQ |d VT2 |d OCLCO |d OCLCQ |d OCLCO |d OCLCQ |d OCLCO |d OCLCL |d SXB | ||
| 050 | 4 | |a QA649 | |
| 072 | 7 | |a MAT |x 012000 |2 bisacsh | |
| 082 | 0 | 4 | |a 516.3/73 |2 21 |
| 100 | 1 | |a Mitrea, Dorina, |d 1965- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJpv7q38fV6GvpykF4MpT3 | |
| 245 | 1 | 0 | |a Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / |c Dorina Mitrea, Marius Mitrea, Michael Taylor. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 2001. | ||
| 300 | |a 1 online resource (viii, 120 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 713 | |
| 500 | |a "Volume 150, number 713 (fourth of 5 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 117-120). | ||
| 505 | 0 | 0 | |t Introduction |t 1. Singular integrals on Lipschitz submanifolds of codimension one |t 2. Estimates on fundamental solutions |t 3. General second-order strongly elliptic systems |t 4. The Dirichlet problem for the Hodge Laplacian and related operators |t 5. Natural boundary problems for the Hodge Laplacian in Lipschitz domains |t 6. Layer potential operators on Lipschitz domains |t 7. Rellich type estimates for differential forms |t 8. Fredholm properties of boundary integral operators on regular spaces |t 9. Weak extensions of boundary derivative operators |t 10. Localization arguments and the end of the proof of Theorem 6.2 |t 11. Harmonic fields on Lipschitz domains |t 12. The proofs of the Theorems 5.1-5.5 |t 13. The proofs of the auxiliary lemmas |t 14. Applications to Maxwell's equations on Lipschitz domains. |
| 520 | 8 | |a Introduction Singular integrals on Lipschitz submanifolds of codimension one Estimates on fundamental solutions General second-order strongly elliptic systems The Dirichlet problem for the Hodge Laplacian and related operators Natural boundary problems for the Hodge Laplacian in Lipschitz domains Layer potential operators on Lipschitz domains Rellich type estimates for differential forms Fredholm properties of boundary integral operators on regular spaces Weak extensions of boundary derivative operators Localization arguments and the end of the proof of Theorem 6.2 Harmonic fields on Lipschitz domains The proofs of the Theorems 5.1-5.5 The proofs of the auxiliary lemmas Applications to Maxwell's equations on Lipschitz domains Analysis on Lipschitz manifolds The connection between $d_ partial$ and $d_{ partial Omega}$ Bibliography. | |
| 588 | 0 | |a Print version record. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Riemannian manifolds. | |
| 650 | 0 | |a Boundary value problems. | |
| 650 | 0 | |a Differential equations, Elliptic |x Numerical solutions. | |
| 700 | 1 | |a Mitrea, Marius, |e author. | |
| 700 | 1 | |a Taylor, Michael E., |d 1946- |e author. |1 https://id.oclc.org/worldcat/entity/E39PBJyWYxDqHd4PfggBBgYwYP | |
| 758 | |i has work: |a Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFxxJHfGwDkp9d6996DxMq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Mitrea, Dorina, 1965- |t Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds / |x 0065-9266 |z 9780821826591 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 713. |x 0065-9266 | |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/emerson/detail.action?docID=3114548 |z Full text (Emerson users only) |t 0 |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/emmanuel/detail.action?docID=3114548 |z Full text (Emmanuel users only) |t 0 |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/neco/detail.action?docID=3114548 |z Full text (NECO users only) |t 0 |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/mcphs/detail.action?docID=3114548 |z Full text (MCPHS users only) |t 0 |
| 856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/wit/detail.action?docID=3114548 |z Full text (Wentworth users only) |t 0 |
| 999 | 1 | 0 | |i 009948cb-611c-44f7-9134-4cdbbf699d66 |l in00000017669 |s US-MBE |m layer_potentials_the_hodge_laplacian_and_global_boundary_problems_in_n_____2001_______ameria________________________________________mitrea__dorina_____________________e |
| 999 | 1 | 0 | |i 009948cb-611c-44f7-9134-4cdbbf699d66 |l in00000347571 |s US-MBEMM |m layer_potentials_the_hodge_laplacian_and_global_boundary_problems_in_n_____2001_______ameria________________________________________mitrea__dorina_____________________e |
| 999 | 1 | 0 | |i 009948cb-611c-44f7-9134-4cdbbf699d66 |l in00000069302 |s US-MBNECO |m layer_potentials_the_hodge_laplacian_and_global_boundary_problems_in_n_____2001_______ameria________________________________________mitrea__dorina_____________________e |
| 999 | 1 | 0 | |i 009948cb-611c-44f7-9134-4cdbbf699d66 |l in00000221842 |s US-MBP |m layer_potentials_the_hodge_laplacian_and_global_boundary_problems_in_n_____2001_______ameria________________________________________mitrea__dorina_____________________e |
| 999 | 1 | 0 | |i 009948cb-611c-44f7-9134-4cdbbf699d66 |l in00000323926 |s US-MBWI |m layer_potentials_the_hodge_laplacian_and_global_boundary_problems_in_n_____2001_______ameria________________________________________mitrea__dorina_____________________e |
| 999 | 1 | 1 | |l in00000017669 |s ISIL:US-MBE |i Emerson |t BKS |a EBooks |c ProQuest |d Other scheme |x E-Resource |p UNLOANABLE |
| 999 | 1 | 1 | |l in00000347571 |s ISIL:US-MBEMM |i Emmanuel |t BKS |a Online |c ProQuest |d Other scheme |p UNLOANABLE |
| 999 | 1 | 1 | |l in00000069302 |s ISIL:US-MBNECO |i NECO |t BKS |a eBooks |c ProQuest |d Other scheme |p UNLOANABLE |
| 999 | 1 | 1 | |l in00000221842 |s ISIL:US-MBP |i MCPHS |t BKS |a E-Collections |c ProQuest |d Other scheme |p UNLOANABLE |
| 999 | 1 | 1 | |l in00000323926 |s ISIL:US-MBWI |i Wentworth |t BKS |a Ebooks |c ProQuest |d Other scheme |p UNLOANABLE |