persevere

To persist in or remain constant to a purpose, idea, or task in the face of obstacles or discouragement.

To persist in anything one has undertaken; pursue steadily and design or course commenced; avoid giving over or abandoning what is undertaken; be constant, steadfast, or unflinching.

Synonyms To keep on, hold on, stick to (one’s work). See assiduity.

To continue; cause to abide or remain steadfast or unchanged.

To persist in any business or enterprise undertaken; to pursue steadily any project or course begun; to maintain a purpose in spite of counter influences, opposition, or discouragement; not to give or abandon what is undertaken.

To persist steadfastly in pursuit of an undertaking, task, journey or mission in spite of distraction, difficulty, obstacles or discouragement.

be persistent, refuse to stop