Of course you won't know until you try.
As long as it's unlocked / SIM-free it SHOULD work especially because Docomo has the S3 in their series of devices.
The Japanese version of the smartphone is a bit different, though.
I heard a few people got it to work with Softbank, so it should also work with Docomo.
Just check the frequences of your model and the ones Docomo is using!