Electronic Journal of Differential Equations, Vol. 2023 (2023), No. 69, pp. 1-11.

Title: Lower bounds at infinity for solutions to second order elliptic equations
       
Author: Tu Nguyen (Vietnam National Univ., Ho Chi Minh City, Vietnam)
         
Abstract:
We study lower bounds at infinity for solutions to
$$
|Pu|\leq M|x|^{-\delta_1}|\nabla u|+M|x|^{-\delta_{0}}|u|
$$
where $P$ is a second order elliptic operator. Our results are of quantitative
nature and generalize those obtained in [3,6].

Submitted September 4, 2023. Published October 16, 2023.
Math Subject Classifications: 35J15, 35A02.
Key Words: Carleman estimates; strong unique continuation.