What is the right adhesive to use with PVC interior paneling and trim?
There is a product

Roberts cove moulding adhesive - I am sure there are other things better and worse.

Something I consider critical for the project is a Cove shozzle, again a roberts product - it fits on a caulking tube of the stuff, well i guess anyone's product in a caulk tube, and spreads it out wide, so you do not get the kind of squish out, or one thick line of the stuff on the moulding.