give up

1 :  to yield control or possession of :  surrender forced to give up his job

2 :  to desist from :  abandon refused to give up her efforts

3 :  to declare incurable or insoluble

4a :  to abandon (oneself) to a particular feeling, influence, or activity gave himself up to despairb :  to devote to a particular purpose or use

5 :  to despair of seeing we'd given you up

6 :  to allow (a hit or run in baseball) while pitching

:  to cease doing or attempting something especially as an admission of defeat :  quit —often used with on don't give up on the project