Word for speaking over others

Shouting down? (If at a noisy public meeting) Drowning out? Smothering in interruptions? Norwegian has an expression, literally "to talk in someone's mouth". That fits so perfectly that it's a pity English doesn't have it – unless you want to start a fashion.

Surely Mitch (see answers) is right:

speaking over others

is quite appropriate:

Communication for Business and the Professions: Strategie ... Page 96 Judith Dwyer - 2012 - ‎Preview

This attention can be demanded by speaking loudly, speaking over others, using attention-seeking body movements, and ignoring feedback and the views of others.

drown out

To make it impossible to hear the sound of something or someone by muffling, masking, or overwhelming it with a louder sound. [The Free Dictionary]

barracking
- shouting to interrupt a speech with which you disagree

It actually doesn't mean to speak over someone, but this word in terms of the elements that make it up would be perfect if it didn't already have a different meaning:

overtalk

To talk too much or too long about (something).

Also:

overspeak

To speak too much; to use too many words.

Maybe one of these could be used and evolved over time to mean to talk/speak over someone, like a lot of words change meaning over time. Just requires enough people to start using it that way. ?