Both of which state that 『』are called 二重鉤括弧(にじゅうかぎかっこ) literally double hook brackets. And the normal ones 「」are called 鉤括弧(かぎかっこ) literally hook brackets.
They also state that 『』are typically used for quotes inside of other quotes.
Additionally, the Wikipedia article on Japanese typographical symbols says that they’re used for titles. (Under brackets and quotation marks, second item)