Basset Ears

Hello. One of my bassets has little splits on the bottom edges of his ears. We live in the Northern US and temps can get pretty cold. Both of our boys wear snoods to protect their ears from the cold however when we were on vacation and the boys were at daycare, there were times when other dogs would pull their snood off. I am pretty sure the splits are from the cold weather and his ear tips getting wet. What can I do to help them heal? They are small however he licks them and I am not sure if that helps. Any advice is greatly appreciated.