continue vs keep up

continue and keep up both are verbs.

Word	Noun	Adjective	Verb	Adverb
continue	No	No	Yes	No
keep up	No	No	Yes	No

As verbs, keep up is a hypernym of continue; that is, keep up is a word with a broader meaning than continue:

continue: allow to remain in a place or position or maintain a property or feature
keep up: lengthen or extend in duration or space

Other hypernyms of continue include prolong, sustain.

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

continue (verb)	keep up (verb)
exist over a prolonged period of time	prevent from going to bed at night
continue talking	keep informed
move ahead; travel onward in time or space	maintain a required pace or level
allow to remain in a place or position or maintain a property or feature	keep in safety and protect from harm, decay, loss, or destruction
keep or maintain in unaltered condition; cause to remain or last	lengthen or extend in duration or space
continue a certain state, condition, or activity
span an interval of distance, space or time
continue in a place, position, or situation
continue after an interruption
do something repeatedly and showing no intention to stop