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100   $a20001102d2001      uy|            0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aLayer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds /$fDorina Mitrea, Marius Mitrea, Michael Taylor
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2001.
215   $a1 online resource (137 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vnumber 713
300   $a"Volume 150, number 713 (fourth of 5 numbers)."
311   $a0-8218-2659-X 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""Chapter 8. Fredholm properties of boundary integral operators on regular spaces""""Chapter 9. Weak extensions of boundary derivative operators""; ""Chapter 10. Localization arguments and the end of the proof of Theorem 6.2""; ""Chapter 11. Harmonic fields on Lipschitz domains""; ""Chapter 12. The proofs of the Theorems 5.1-5.5""; ""Chapter 13. The proofs of the auxiliary lemmas""; ""Chapter 14. Applications to Maxwell's equations on Lipschitz domains""; ""Appendix A. Analysis on Lipschitz manifolds""; ""Appendix B. The connection between da???and da???I?©""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vno. 713.
606   $aRiemannian manifolds
606   $aBoundary value problems
606   $aDifferential equations, Elliptic$xNumerical solutions
615  0$aRiemannian manifolds.
615  0$aBoundary value problems.
615  0$aDifferential equations, Elliptic$xNumerical solutions.
676   $a510 s
676   $a516.3/73
700   $aMitrea$b Dorina$f1965-$01171699
702   $aMitrea$b Marius
702   $aTaylor$b Michael
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910807035303321
996   $aLayer potentials, the Hodge Laplacian, and global boundary problems in nonsmooth Riemannian manifolds$93935655
997   $aUNINA