Abstract
We deal with the characterization of entire solutions to the generalized parabolic 2-Hessian equation of the form ut=μ(F2(D2u)1/2) in Rn×(−∞,0]. We prove that any strictly 2-convex-monotone solution u=u(x,t)∈C4,2(Rn×(−∞,0]) must be a linear function of t plus a quadratic polynomial of x, under some assumptions on μ:(0,∞)→R, some growth conditions on u and the boundedness of the 3-Hessian of u from below.
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