In this photo provided by CBS, Michael Douglas waves to the Late Show audience after a hug from host David Letterman during the Tuesday, Aug. 31, 2010 taping of the show in New York. Douglas said he faces an 'eight-week struggle' against throat cancer but is optimistic about his chances for recovery. (AP Photo/CBS, John Paul Filo) MANDATORY CREDIT; NO SALES; NO ARCHIVE; NORTH AMERICAN USE ONLYAP – Michael Douglas is vowing to beat cancer.