Yes, there are reasons Corian tops must be manufactured by a certified worker, it has to do with warranty.They don't want just anybody without the correct knowledge of the product making tops and installing them because if it is not done correctly as in the seams and so forth, then issues can arise and Dupont doesn't need the aggrevation.
I use Surell,Fountainhead and HI-max. the stuff is wicked expensive. They did away with the packets of adhesive and now use a small double caulking tube with both hardner and the glue in separate tubes and you need a special gun, the glue gets mixed in a mixing tip about 5-8" long. One of the guns I have cost $150. I have some old expired glue packets if someone wants to experiment, I'll see if I can find them. But Chris is right, epoxy will work, basically that is what the product they sell is anyway along with a few other things to color it and thicken it.
If you turn some, it is true that it will save time and be safer to take a router to the corners first and round them over.
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