'follow up' definitions:

Definition of 'follow up'

(from WordNet)
verb
Pursue to a conclusion or bring to a successful issue; "Did he go through with the treatment?"; "He implemented a new economic plan"; "She followed up his recommendations with a written proposal" [syn: follow through, follow up, follow out, carry out, implement, put through, go through]
verb
Increase the effectiveness or success of by further action; "The doctor followed up the surgery with radiation"