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• W2557387052 abstract "In this paper, we deal with entire solutions to the generalized parabolic k-Hessian equation of the form (u_t = mu (F_k(D^2 u)^{1/k})) in (mathbb {R}^n times (-infty ,0]). We prove that for (1 le k le n), any strictly convex-monotone solution (u=u(x,t) in C^{4,2}(mathbb {R}^n times (-infty , 0])) to (u_t = mu ( F_k(D^2 u)^{1/k})) in (mathbb {R}^n times (-infty , 0]) must be a linear function of t plus a quadratic polynomial of x, under some assumptions on (mu : (0,infty ) rightarrow mathbb {R}) and some growth conditions on u." @default.
• W2557387052 created "2016-12-08" @default.
• W2557387052 creator A5006627198 @default.
• W2557387052 creator A5011998220 @default.
• W2557387052 date "2016-01-01" @default.
• W2557387052 modified "2023-09-27" @default.
• W2557387052 title "Entire Solutions to Generalized Parabolic k-Hessian Equations" @default.
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• W2557387052 doi "https://doi.org/10.1007/978-3-319-41538-3_11" @default.
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