Judge James Taylor heard closing arguments Tuesday in Provo but didn't specify when he'll issue a ruling.
The "Diff'rent Strokes" actor died of a brain hemorrhage in 2010.
Shannon Price testified Monday that even though she and Coleman divorced in 2008, they continued to live together and present themselves in public as husband and wife.
Another woman, Anna Gray, says Coleman named her a beneficiary and executor of his estate in 2005. Gray managed Coleman's affairs for a number of years and was his ex-girlfriend.
It's not clear how much Coleman's estate is worth, but court papers mention a $324,000 house and a pension, among other possible assets. Coleman's ashes and the intellectual rights to some of his work also are at stake.
