Although systemic vitamin C can heal burns, there is no reference indicating that topical Vitamin C is beneficial. We are planning to study the effect of topical Vitamin C on burns. We found no paper in this context.
I think you can consider topical vitC for burn healing. There are some published papers related to burn healing, of course uv burn. but based on antioxidant property and also vitC role in collagen synthesis is the logic for topical vitC use for healing.
you can see below related items.
Darr D, Combs S, Dunston S, et al. Topical vitamin C protects porcine skin from ultraviolet radiation-induced damage. Br J Dermatol . 1992;127:247-253.
* Traikovich SS. Use of topical ascorbic acid and its effects on photodamaged skin topography. Arch Otolaryngol Head Neck Surg . 1999;125:1091-1098.
Dermatol Surg. 2002 Mar;28(3):231-6.
Double-blind, half-face study comparing topical vitamin C and vehicle for rejuvenation of photodamage. Fitzpatrick RE1, Rostan EF.