03142nam 2200601 450 991080703530332120170822144228.01-4704-0306-4(CKB)3360000000464897(EBL)3114548(SSID)ssj0000973290(PQKBManifestationID)11504612(PQKBTitleCode)TC0000973290(PQKBWorkID)10978829(PQKB)11034547(MiAaPQ)EBC3114548(RPAM)12220287(PPN)195415981(EXLCZ)99336000000046489720001102d2001 uy| 0engur|n|---|||||txtccrLayer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds /Dorina Mitrea, Marius Mitrea, Michael TaylorProvidence, Rhode Island :American Mathematical Society,2001.1 online resource (137 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 713"Volume 150, number 713 (fourth of 5 numbers)."0-8218-2659-X Includes bibliographical references.""Contents""; ""Introduction""; ""Chapter 1. Singular integrals on Lipschitz submanifolds of codimension one""; ""Chapter 2. Estimates on fundamental solutions""; ""Chapter 3. General second-order strongly elliptic systems""; ""Chapter 4. The Dirichlet problem for the Hodge Laplacian and related operators""; ""Chapter 5. Natural boundary problems for the Hodge Laplacian in Lipschitz domains""; ""Chapter 6. Layer potential operators on Lipschitz domains""; ""Chapter 7. Rellich type estimates for differential forms""""Chapter 8. Fredholm properties of boundary integral operators on regular spaces""""Chapter 9. Weak extensions of boundary derivative operators""; ""Chapter 10. Localization arguments and the end of the proof of Theorem 6.2""; ""Chapter 11. Harmonic fields on Lipschitz domains""; ""Chapter 12. The proofs of the Theorems 5.1-5.5""; ""Chapter 13. The proofs of the auxiliary lemmas""; ""Chapter 14. Applications to Maxwell's equations on Lipschitz domains""; ""Appendix A. Analysis on Lipschitz manifolds""; ""Appendix B. The connection between dâ??and dâ??Ω""; ""Bibliography""Memoirs of the American Mathematical Society ;no. 713.Riemannian manifoldsBoundary value problemsDifferential equations, EllipticNumerical solutionsRiemannian manifolds.Boundary value problems.Differential equations, EllipticNumerical solutions.510 s516.3/73Mitrea Dorina1965-1171699Mitrea MariusTaylor MichaelMiAaPQMiAaPQMiAaPQBOOK9910807035303321Layer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds3935655UNINA