It's not incorrect but I'm not sure exactly what you're trying to say. It would be better if you had some time references - years from when? And when did he live in Europe? You could model it on something like this:
For many years [after his death], the life and work of Alexander Shervashidze, the Abkhazian artist who spent much/most of his life/career in Europe, remained little known in Georgia.
The life and work of Alexander Shervashidze, the Abkhazian artist who spent much/most of his life/career in Europe, remained little known in Georgia until many years after his death.