1 : to write or cut (words, a name, etc.) on something — + on or in
The winner’s name is inscribed on the trophy.
He inscribed a message in the book before giving it to his son.
— sometimes used figuratively
The image is inscribed in my memory. (=I remember the image very clearly)
2 : to write words, a name, etc., on (something)
They inscribed the monument with the soldiers’ names.
The book was inscribed with the author’s signature.