I've installed car audio equipment more than once, and those intermittent cutouts are frustrating, but they usually get solved without taking anything to a shop. First thing is to check where you connected the main power: lots of people hook it straight to the battery but don't put a protection fuse nearby, or they use wire that's too thin. If the voltage drops when it demands more power (especially on the bass), the unit shuts off for a moment. Make sure that cable is thick, secured tight on both ends, and has a proper fuse. Also gently tug on each connector (power, ground, RCA, speakers) to make sure they're seated properly.
Now, here's what others don't mention: RCA cables (the audio ones) are really sensitive. If they run near power cables or the car's electrical wiring without shielding, they pick up interference and that causes cutouts or noise. If you ran the RCAs under the car with no protection, that's your problem right there. Plus, sometimes the ground connection between the unit and the car's chassis is poor. Make sure that ground cable is connected to a clean spot on the car's metal frame, not to plastic.
If you checked all that and the cutouts keep happening, try turning down the volume to the max where the problems happen: if they disappear, it's clearly a voltage issue. Only then is it worth thinking about whether the unit arrived damaged from the factory or if it needs professional service.