If you are subject to the Foreign Residency Requirement and are applying for a waiver, then your children/dependents will also be subject to the same requirement. The key difference is that you are not required to submit a separate application for your children or dependents. When you submit your waiver application, you can include your children or dependents in it at no extra cost. However, your dependents or children who came to the U.S. under a J-2 visa cannot apply for the waiver on their own without you applying for a J-1 waiver.