Tenn. Code § 30-3-106
All notices required under this part shall be served upon all parties, ordered by the court to be served, in the manner prescribed by existing statutes or rules, except that in addition thereto the absentee shall be served by publication once a week for four (4) successive weeks in a newspaper printed in the English language of general circulation in the county of the absentee's domicile, the last publication to be not less than ten (10) nor more than twenty (20) days prior to the time set for any hearing. The original notice prescribed in § 30-3-104, shall require each person claiming an interest in the property of the absentee to file in court within a time fixed by the court a statement of the nature and extent of such interest.
T.C.A. § 30-3-106