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Differential forms on riemannian manifolds
Author(s) -
Friedrichs K. O.
Publication year - 1955
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.3160080408
Subject(s) - citation , mathematics , differential (mechanical device) , combinatorics , pure mathematics , computer science , world wide web , physics , thermodynamics
summary:A system of first order partial differential equations is studied which is defined by the divergence and rotation operators in a bounded nonsmooth domain $\Omega\subset \bold R^3$. On the boundary $\delta\Omega$, the vanishing normal component is prescribed. A variational formulation is given and its solvability is investigated