TY  - JOUR
A1  - Ludewig, Matthias
T1  - Vector fields with a non-degenerate source
JF  - Journal of geometry and physics
N2  - We discuss the solution theory of operators of the form del(x) + A, acting on smooth sections of a vector bundle with connection del over a manifold M, where X is a vector field having a critical point with positive linearization at some point p is an element of M. As an operator on a suitable space of smooth sections Gamma(infinity)(U, nu), it fulfills a Fredholm alternative, and the same is true for the adjoint operator. Furthermore, we show that the solutions depend smoothly on the data del, X and A.
KW  - Recursive transport equations
KW  - First order PDE
KW  - Fredholm alternative
KW  - Heat kernel coefficients
KW  - WKB expansion
KW  - Semiclassical analysis
Y1  - 2014
U6  - https://doi.org/10.1016/j.geomphys.2014.01.014
SN  - 0393-0440
SN  - 1879-1662
VL  - 79
SP  - 59
EP  - 76
PB  - Elsevier
CY  - Amsterdam
ER  -