I realize data will work no problem but I'm more concerned about voice (as in calling and texting).
Be careful with data roaming! Here in Japan, we local subscribers get access to the flat-rate APNs (for the all-you-can-use data plans). People who roam generally don't have access to these APNs (they're either SIM-locked or IMEI-locked), and will be charged a-la-carte for data usage -- which can get as high as ¥50,000 before you realize it! So be warned!
Otherwise, for voice and SMS, it should be as Happosai said. You will roam on the au/KDDI network, so long as your provider back in Korea has enabled roaming for your device.