In the USA, the probate court deals with questions of distribution and administration or execution of a decedent's estate (assets). In contrast to Germany, the decedent's estate in the USA is regarded as a separate legal entity (an estate). United States probate courts decide on the validity of wills, enforce the enforceable wills, and prevent violations of the law by executors of the estate. It also ensures a fair distribution of the assets of persons who have died without a valid will.
a court (=place where cases are heard) that handles matters to decide whether or not a document, especially a will, is valid (=has been made correctly and is enforceable)
I believe the probate court will play an ever increasing role in what will happen to our aging population.