Subjects of childbearing or child fathering potential must be willing to use a medically acceptable form of birth control, which includes abstinence, while being treated on this study Patients of childbearing or child fathering potential must be willing to use a medically acceptable form of birth control while being treated on this study Female patients of childbearing potential should be willing to use 2 methods of birth control or be surgically sterile, or abstain from heterosexual activity for the course of the study through 120 days after the last dose of study medication; patients of childbearing potential are those who have not been surgically sterilized or have not been free from menses for > 1 year Patients of childbearing or child fathering potential must be willing to use 2 methods of birth control or be surgically sterile or abstain from heterosexual activity while being treated on this study and for 6 months after the last dose of study medication INCLUSION CRITERIA FOR STRATUM C: Patients of childbearing or child fathering potential must be willing to use 2 methods of birth control or be surgically sterile or abstain from heterosexual activity while being treated on this study and for 6 months after the last dose of study medication RECURRENT/ PROGRESSIVE DIPG (STRATUM 1): Patients of childbearing or child fathering potential must be willing to use a medically acceptable form of birth control, which includes abstinence, while being treated on this study and for 3 months after the last dose of panobinostat NON-PROGRESSED DIPG (STRATUM 2): Patients of childbearing or child fathering potential must be willing to use a medically acceptable form of birth control, which includes abstinence, while being treated on this study and for 3 months after the last dose of panobinostat Patients of childbearing or child fathering potential must be willing to use a medically acceptable form of birth control, which includes abstinence, while being treated on this study