Main new results: gradient blow-up and nonuniqueness in the Cauchy problem

The above dictates the main goal of this study toward the Problem “Blowup” above, which was not addressed before:

(VI) to describe a generic self-similar mechanism of formation of a singlepoint gradient blow-up as t → T− from smooth (analytic) solutions for NDE-3 (1), when standard local regularity theory ceases to exist, and next, to trace out possible similarity extensions beyond blow-up, i.e., for t > T .