This summary is not the rule. The rule text controls.
If someone who lived outside Louisiana dies but owns property in the state, their estate can still go through a Louisiana court. The case gets filed in a court that has authority to handle it, following the rules laid out in Article 2811.
Once the case is filed, the court handles it almost the same way it would handle the estate of someone who actually lived in Louisiana. There are a few special rules that apply just to nonresident cases, but outside of those exceptions, the process follows the standard steps used for any Louisiana succession.
This matters because it means families do not need to guess at a different set of procedures just because their loved one lived somewhere else. As long as the person owned property in Louisiana when they died, the state's regular succession process applies to settling that property.