Towards a Gauge Theory for Evolution Equations on Vector-valued Spaces

@inproceedings{Cardanobile2009TowardsAG,
  title={Towards a Gauge Theory for Evolution Equations on Vector-valued Spaces},
  author={Stefano Cardanobile and Delio Mugnolo},
  year={2009}
}
We investigate symmetry properties of vector-valued diffusion and Schrödinger equations. For a separable Hilbert space H we characterize the subspaces of L 2 (R N , H) that are local (i.e., defined pointwise) and discuss the issue of their invariance under the time evolution of the differential equation. In this context, the possibility of a connection… CONTINUE READING