S.D. Codified Laws § 7-31-27
Such notice shall be served personally in the manner provided for the service of a summons in civil actions. If the person to be served is not a resident of the state, cannot be found therein, or is deceased, any of which facts, recited in the return of the sheriff of the county where real estate lies, shall be prima facie evidence that he cannot be found in such county or state, then service shall be made by notice published once each week for at least two consecutive weeks in a newspaper of general circulation in the county where the real estate is situated, and such service shall be binding upon all parties in interest in said real estate, including all the personal representatives, heirs at law, devisees, legatees, next of kin, and creditors of any deceased person. Personal service of said notice without the state proved by the affidavit of the person making the same, made before an authorized officer having a seal, shall have the same effect as the published notice herein provided for.
SDCL 7-31-27