Lenalidomide and Doxorubicin Hydrochloride Liposome in Recurrent Ovarian Epithelial Cancer, Fallopian Tube Cancer, or Primary Peritoneal Cancer

OBJECTIVES: Phase I - Primary * To determine the maximum tolerated dose of lenalidomide when combined with fixed dose pegylated liposomal doxorubicin hydrochloride in women with recurrent ovarian epithelial, fallopian tube, or primary peritoneal cancer. Phase II - Define the best overall response induced by lenalidomide in recurrent ovarian cancer patients Secondary * To obtain preliminary information on toxicity, response, and time to progression (duration of response) of these patients. * Progression free survival Phase I OUTLINE: This is a dose-escalation study of lenalidomide. Patients receive oral lenalidomide once daily on days 1-28 and pegylated liposomal doxorubicin hydrochloride intravenously (IV) on day 1. Treatment repeats every 28 days for up to 6 courses in the absence of disease progression or unacceptable toxicity. Phase II OUTLINE: The phase II component will include patients with measurable disease per Response Evaluation Criteria In Solid Tumors (RECIST) criteria treated at lenalidomide 10 mg days 1-28 days of a 28 day cycle (Maximum Tolerated Dose from phase I) with liposomal doxorubicin 40 mg/m\^2 to determine efficacy and safety of the combination therapy. (Effective with April 2010 revision) After completion of study therapy, patients are followed periodically.