I had the J-Plasma in 12/2014. The results reduced lip lines, under eye lines and jowls. However, the treated areas were burned?

My doctor has been trying to fix this by lightening the remaining skin with v-beam, chemicals and a tca peel to match. He has seen me every month to 3 months throughout. No treatment has been done to the affected area so I assume that he doesn't think there's anything that can be done. I've asked if this burned area will ever heal he said it would take time. It's been 2.5 years now and I have defined different colors inside and outside of my laugh lines. Does anyone have any experience in reversing burns?