carry on vs keep up

carry on and keep up both are verbs.

Word	Noun	Adjective	Verb	Adverb
carry on	No	No	Yes	No
keep up	No	No	Yes	No

As verbs, keep up is a hyponym of carry on; that is, keep up is a word with a more specific, narrower meaning than carry on:

carry on (verb)	keep up (verb)
continue talking	prevent from going to bed at night
direct the course of; manage or control	keep informed
misbehave badly; act in a silly or improper way	maintain a required pace or level
keep or maintain in unaltered condition; cause to remain or last	keep in safety and protect from harm, decay, loss, or destruction
	lengthen or extend in duration or space