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Results tagged with differential-operators
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user 12482
Elliptic, parabolic and hyperbolic operators. Laplace, Laplace-Beltrami, Schrödinger, Dirac. Exterior derivative and Lie derivative operators.
16
votes
Accepted
Hodge decomposition of smooth n-forms: is it an isomorphism of topological vector spaces?
Maybe an even more elementary argument than the one of Tobias:
The continuity of all involved operators is easy: simply all differential operators with smooth coefficients between sections of vector b …
- 8,098
3
votes
Accepted
Horizontal lift of differential operator
This is a sort of standard construction you can find in several places. I don't know where this was done first though...
OK: first you can extend your horizontal lift from vector fields to all (symm …
- 8,098
8
votes
Symbol of pseudodiff operator
There are several global approaches to pseudo-diffops. All of them seem to need some additional geometric objects, a connection. So suppose that you want to have $\Psi$DO's on some vector bundle $E \l …
- 8,098