S.D. Codified Laws § 10-4-41
Two hundred thousand dollars of the full and true value of the total amount of a dwelling, or portion thereof, classified as owner-occupied pursuant to §§ 10-13-39 to 10-13-40.4, inclusive, is exempt from property taxation if owned and occupied by:
The surviving spouse shall apply for this partial exemption on a form prescribed by the secretary of revenue. Any application or supporting document for this exemption is confidential. Any surviving spouse who would otherwise qualify for this exemption but fails to comply with the application deadline for the owner-occupied classification or the deadline for application for this exemption may petition the board of county commissioners to recalculate the taxes based upon the owner-occupied classification and this exemption and abate or refund the difference in taxes pursuant to chapter 10-18.
If the director of equalization determines that the surviving spouse receives an exemption for the dwelling pursuant to this section, the surviving spouse retains that exemption until the property ownership is transferred, the surviving spouse does not occupy the dwelling, the surviving spouse remarries, or the property has a change in use. If the legal description of property is changed or amended and the surviving spouse continues to reside in the dwelling, the surviving spouse retains the exemption provided by this section.
SDCL 10-4-41