Paclitaxel and Celecoxib in Treating Patients With Recurrent or Persistent Platinum-Resistant Ovarian Epithelial or Primary Peritoneal Cancer

RATIONALE: Drugs used in chemotherapy, such as paclitaxel, work in different ways to stop tumor cells from dividing so they stop growing or die. Celecoxib may stop the growth of cancer by stopping blood flow to the tumor and may increase the effectiveness of paclitaxel by making tumor cells more sensitive to the drug. Giving celecoxib together with paclitaxel may kill more tumor cells. PURPOSE: This phase II trial is studying how well giving paclitaxel together with celecoxib works in treating patients with recurrent or persistent platinum-resistant ovarian epithelial or primary peritoneal cancer.