Rashi

shall rejoice over them (יְשֻׂשׂוּם) This is usually the sign of the direct object, inappropriate here in the case of an intransitive verb. (like יָשׂוּשׂוּ מֵהֶם, shall rejoice from them). Comp. (Jer. 10:20) “My sons have gone away from me (יְצָאֻנִי).” Also, (I Kings 19:21) “He cooked the meat for them (בִּשְּׁלָם),” equivalent to בִּשֵּׁל לָהֶם, “He cooked the meat for them.” Desert and wasteland Jerusalem, called ‘wasteland,’ and Zion, called ‘desert,’ they shall rejoice over the downfall of the mighty of the heathens and Persia ([Manuscripts yield:] of Edom and Bozrah). ([The Warsaw edition reads:] the mighty of Seir (and Bozrah).) and the plain shall rejoice the plain of Jerusalem.