Finite Energy Solutions of Maxwell's Equ
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Dorina Mitrea; Marius Mitrea
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Article
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2002
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Elsevier Science
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English
⚖ 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