@article{Ludewig2014,
  author    = {Ludewig, Matthias},
  title     = {Vector fields with a non-degenerate source},
  series = {Journal of geometry and physics},
  volume    = {79},
  journal   = {Journal of geometry and physics},
  publisher = {Elsevier},
  address   = {Amsterdam},
  issn      = {0393-0440},
  doi       = {10.1016/j.geomphys.2014.01.014},
  pages     = {59 -- 76},
  year      = {2014},
  abstract  = {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.},
  language  = {en}
}