of course your abcess will go down with silver. that is because it is an antibiotic. it was the first antibiotic before penicillin. that is where we get the term "born with a silver spoon in their mouth". wealthier people could afford silver and they used to suck on the spoons. those people did not get sick often or if they did, they could beat infection easier.
as for your abcess, the bacteria do not go away and eventually they will get stronger and the silver will not work any longer.