persist

(verb) continue to exist. Synonyms: prevail, die hard, run, endure. Examples: "These stories die hard." "The legend of elvis endures."

(verb) be persistent, refuse to stop. Synonyms: persevere, hang in, hang on, hold on. Examples: "He persisted to call me every night." "The child persisted and kept asking questions."

(verb) stay behind. Synonyms: remain, stay. Examples: "The smell stayed in the room." "The hostility remained long after they made up."