WordNet (r) 3.0 (2006):

live on
    v 1: continue to live through hardship or adversity; "We went
         without water and food for 3 days"; "These superstitions
         survive in the backwaters of America"; "The race car driver
         lived through several very serious accidents"; "how long
         can a person last without food and water?" [syn: survive,
         last, live, live on, go, endure, hold up, hold
         out]

Moby Thesaurus II by Grady Ward, 1.0:

52 Moby Thesaurus words for "live on":
   abide, batten upon, bide, browse, carry on, continue,
   continue to be, continue to exist, crop, defeat time, defy time,
   dwell, endure, exist, extend, fatten on, fatten upon, feast on,
   feast upon, feed on, go on, graze, hold, hold on, hold out, keep,
   keep on, last, last long, last out, live, live through, maintain,
   pasture on, perdure, perennate, persist, prevail, prey on, remain,
   run, run on, stand, stay, stay on, subsist, survive, sustain,
   tarry, tide over, wear, wear well