| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4611502 | Journal of Differential Equations | 2010 | 8 Pages |
Abstract
We consider the entire graph S of a continuous real function over RN−1 with N⩾3. Let Ω be a domain in RN with S as a boundary. Consider in Ω the heat flow with initial temperature 0 and boundary temperature 1. The problem we consider is to characterize S in such a way that there exists a stationary isothermic surface in Ω. We show that S must be a hyperplane under some general conditions on S. This is related to Liouville or Bernstein-type theorems for some elliptic Monge–Ampère-type equation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
