I would use construction adhesive, PL400 or better. Silicone
caulk can also make an excellent adhesive.
No idea what it is you are gluing, but I can't help but think you
may change your mind someday. On that basis, I would just clean
the Corian surface to make sure there was no wax, grease, oil, or
(top posted for your convenience)
Keep the whole world singing . . . .
DanG (remove the sevens)
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