Your scale is a mode of the scale that Wikipedia calls Neapolitan major. Unfortunately, Neapolitan major is a minor scale (at least, it harmonizes out to a minor triad at the root, not a major one) and the citations for that name are not very convincing. But you can find references to this scale more easily than yours, so it might be a good search term to know.
Wikipedia duplicates the name Aaron found for your mode: "Lydian minor". Again, this seems to be a name that someone invented and that is reproduced only in a few lists of scales. It seems to be a bad name to me -- shouldn't "Lydian Minor" at least have a b3 in it? But I'm sure that doesn't bother everyone the way it does me.
Names like these usually originated in scale books marketed towards rock guitarists; they represent a kind of folk terminology that hasn't passed into common use (because the scales are rarely used) and usually doesn't have any basis outside that. But all that might not bother you too much -- after all, everything has a name because someone decided to call it that, and names don't have to make logical sense.
It might also be useful to know that your scale is the same as the Carnatic melakata Rishabhapriya. This name connects your scale with real-world music-making rather than obsessive list-making, so it may be more helpful for you. A YouTube search throws up lots of South Indian performances of pieces in Rishabhapriya.