I gave up trying to cultivate the grass on my parkway. Being on a cul-de-sac the plow drivers have to pile up the snow on the parkways. When the snow melts the salt residue stays, and just kills the grass, and any hope of growing any for the rest of the season. Everyone on this block's parkway looks the same, trashed, and mostly barren.
One year I got motivated. I removed the lop layer of soil, roto-tilled it, mixed in fresh soil and compost, then re-soded it. Looked okay until winter, and the salt killed it all.