Your amp is probably going into overload protection. Are the sub(s) and door speakers wired to different amps or to a single amp? Are the sub and door speaker wired together off a single channel of an amp?
Never encountered this problem before... Strange. How 'high' is the volume? Maybe the problem with amount of voltage? Check out this article https://liamscar.com/best-car-speakers-for-bass/ . It speculates on principles and standards you need to take into account. Or maybe just in case you will need new speakers.