DISEASE CHARACTERISTICS:

• Diagnosis of clinically localized adenocarcinoma of the prostate

  • T1 or T2 disease
• Received prior primary treatment with definitive radiotherapy (at least 5,500 cGy) OR radical prostatectomy

• Biochemical relapse within 5 years after prior primary therapy, defined as 1 of the following:

  • Detectable and rising prostate-specific antigen (PSA) after surgery (at least 2 values above the residual cancer detection limit of the assay)
  • PSA at least 2 values above 1 ng/mL OR at least 3 rising values at any level after radiotherapy
• PSA no greater than 10 ng/mL

PATIENT CHARACTERISTICS:

Age

• Not specified

Performance status

• ECOG 0-2

Life expectancy

• Not specified

Hematopoietic

• Not specified

Hepatic

• ALT no greater than 2.5 times upper limit of normal

Renal

• Creatinine normal

Other

• No allergy to cyclooxygenase-2 inhibitors, aspirin, nonsteroidal anti-inflammatory drugs, or sulfa drugs
• No untreated peptic ulcer disease

PRIOR CONCURRENT THERAPY:

Biologic therapy

• Not specified

Chemotherapy

• No prior chemotherapy

Endocrine therapy

• More than 6 months since prior adjuvant or neoadjuvant hormonal therapy

  • Duration of prior adjuvant or neoadjuvant hormonal therapy must have been no more than 6 months

Radiotherapy

• See Disease Characteristics
• Prior salvage radiotherapy after prostatectomy allowed

Surgery

• See Disease Characteristics