Any k+1-convex-monotone solution to -u_t σ_k(D²u)=1 with quadratic growth on u(x,0) and 0<m1≤-u_t≤m2 is linear in t plus quadratic in x.
An extension to a theorem of J¨ ogens, Calabi, and Pogorelov
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A Pogorelov estimate and a Liouville type theorem to parabolic $k$-Hessian equations
Any k+1-convex-monotone solution to -u_t σ_k(D²u)=1 with quadratic growth on u(x,0) and 0<m1≤-u_t≤m2 is linear in t plus quadratic in x.