live on
1. To use some resource as one's means of survival or financial security. I guess we should be glad to get anything at all from social welfare, but how do they expect us to live on $300 a month? I had to live on berries and birds' eggs while I was stranded in the wilderness.
2. To continue to survive or endure. Everyone thought print books would vanish with the rise of eBook readers, but printed media lives on even now.
3. To remain in people's memory after someone dies or something ceases. We'll all miss her terribly, but the memory of our grandmother will live on in everyone who knew and loved her. Even twenty years after the war ended, fear of the enemy lives on in this country.