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Rough isometry and energy finite solutions of elliptic equations on Riemannian manifolds

✍ Scribed by Yong Hah Lee


Publisher
Springer
Year
2000
Tongue
English
Weight
178 KB
Volume
318
Category
Article
ISSN
0025-5831

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Finite Energy Solutions of Maxwell's Equ
✍ Dorina Mitrea; Marius Mitrea πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 443 KB

We consider two basic potential theoretic problems in Riemannian manifolds: Hodge decompositions and Maxwell's equations. Here we are concerned with smoothness and integrability assumptions. In the context of L p forms in Lipschitz domains, we show that both are well posed provided that 2 -e < p < 2