Sony has outlined the free games that PSP owners will be receiving as part of the 'Welcome Back' package, after the PlayStation Network downtime.
PSN users can choose two of the following games to download for free:LittleBigPlanet PSP
You'll be able to claim your free games once the PlayStation Store is restored, which will apparently happen sometime this month.
Users will also receive 30 days of PlayStation Plus for free, and existing PS Plus subscribers will get a whole 60 days for free.
Note that German PSN users will have access to Everybody's Golf 2 and Buzz Junior Jungle Party instead of Pursuit Force and Killzone Liberation.