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Results tagged with differential-operators
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user 24309
Elliptic, parabolic and hyperbolic operators. Laplace, Laplace-Beltrami, Schrödinger, Dirac. Exterior derivative and Lie derivative operators.
12
votes
Accepted
Existance of Integrating Factors, a Constructive Proof
You are basically asking for an «algorithm» deciding whether a first-order ODE (with, say, analytic coefficients $f, g$) has a (meromorphic,say) first-integral. This question (which Poincaré asked whe …
- 5,428
5
votes
Codimension of the range of certain linear operators
The question admits a positive answer when one looks at it for the ring of formal power series $\mathbb R[[x,y]]$. For instance the vector field $x^k\partial_x+y\partial_y$ has a formal cokernel of di …
- 5,428