ЗАВЕДОМО

(явно) obviously;

(известно) known to be после сущ.

давать ~ ложные показания give* evidence known to be false, give* deliberately falsified evidence;

~ый (явный) obvious;

(известный) notorious;

~ая ложь obvious lie;

~ый лжец notorious liar

нареч. wittingly, deliberately, knowingly; admittedly, certainly

давать заведомо ложные показания — perjure oneself; wittingly/deliberately give false evidence

заведомо зная — being fully aware