This study will also investigate how the patient's body processes the combination of LBH589 and pemetrexed. To determine this, the investigators will measure the amount of study drug in the patient's blood. This will be done with a series of blood tests, called pharmacokinetic (PK) tests. Other purposes of this study will be to determine the side effects of LBH589 in combination with pemetrexed and whether or not this combination is effective in treating your type of cancer.