There are currently no approved products available anywhere worldwide for the treatment of Dry Eye Disease (DED) that directly affect the corneal epithelium. This study will evaluate the safety and efficacy of SJP-0035 0.001%, compared with a placebo, on corneal healing. Patients meeting the requirements of the inclusion/exclusion criteria will administer 1 drop of the study drug/placebo 4 times per day for 4 weeks.