43 C.F.R. § 3502.41
What happens to a permit or lease if the permittee or lessee dies?
If the permittee or lessee dies, BLM will recognize as the record title holder of the permit or lease:
(a) The executor or administrator of the estate, if probate is required but has not been completed and they have filed the evidence required by § 3502.40(b) of this part; or
(b) The heirs or devisees, if probate has been completed or is not required, if they have filed evidence required by § 3502.40(a) of this part.