persevere

per|severe /p'ɜː^rsɪv'ɪə^r/ (perseveres persevering persevered)
[VERB] V, V with n, V prep
If you persevere with something, you keep trying to do it and do not give up, even though it is difficult.
...his ability to persevere despite obstacles and setbacks.
...a school with a reputation for persevering with difficult and disruptive children...
She persevered in her idea despite obvious objections raised by friends.
= persist
● persevering [ADJ]
He is a persevering, approachable family man.