You can configure the "Process Info" webpart with the permission to be edited.
To do this, logon as an admin to the SD and select "Page List" from the "Site Actions" drop-down above the menu bar.
In the left frame expand "Process View Pages", select "SD Incident View" then click on "Go to Page" in the right frame.
Now you have the possibility to edit the web parts by clicking on "Site Actions" drop-down and selecting first "Modify Page" and then selecting "Edit Page".
After those actions you can see the delete and edit icon on the different web parts. Click on the EDIT icon for the "Process Info" webpart.
ENABLE the checkbox "Allow Edit Process" and check in the parts you want to edit (I enabled Title, Name, Process Description).
Scroll down and click on OK.
Now you can open a resolved/closed ticket and you will see the "Edit Process" link under the "Process Info" webpart. Click on that and modify the parts you want to modify.