to follow up - nachfassen, nachgehen, weiter bearbeiten, weitere Schritte unternehmen
to follow up a matter - etw. weiter bearbeiten, etw. weiter verfolgenDictionary: follow up
follow up - 1. To carry to completion; follow through on: 'followed up their recommendations with concrete proposals.' 2. To increase the effectiveness or enhance the success of by further action: 'followed up her interview with an e-mail.'
follow up - [trans.] 1 : to follow with something similar, related, or supplementary <following up his convictions with action -- G. P. Merrill>
2 : to maintain contact with (a person) so as to monitor the effects of earlier activities or treatments
3 : to pursue in an effort to take further action <the police follow up leads>
[intrans.] : to take appropriate action <follow up on complaints>
follow on intrans 1 to continue; to take something up where someone else has left off I'll follow on after you.
follow on - [intrans] 1 to continue; to take something up where someone else has left off I'll follow on after you.
follow something through /or/ up - to pursue (an idea, a project, etc) beyond its early stages, and often to fruition; to investigate or test it.
follow something up - to take the next step after a particular procedure followed up their investigations with a detailed report.
Compact OED (AskOxford):
(follow up) - pursue or investigate further.