Shade is almost always tough on grass. Bermuda will not tolerate any
shade, and zoysia will tolerate only a limited amount. Try Chewings
fescue, hard red fescue, fine fescue or sheep fescue. Stay away from
turf-type tall fescue.

Bill wrote:
I run the aerator, through out the seed and fertilizer and try to grow
grass in my yard but it really grows sparsely. Is there really a kind
of grass that thrives in a yard with lots of big trees and a heavy
canopy over the yard with lots of shade...

Bill