fractal r eme z inequality 1heat equation 1observability inequality 1spherical polynomials 1super-quadratic potentials 1
From the 1 of 2 linked papers with an AI index.
2 papers
math.AP2026
Fractal Remez inequality on the sphere and observability of the heat equation
Xinyi Chen, Shanlin Huang
The paper proves a fractal Remez inequality for spherical polynomials on the unit sphere using sets with positive Hausdorff content, and applies this result to obtain sharp observa…
math.AP2025
Pointwise estimates for the fundamental solutions of higher order schrödinger equations with finite rank perturbations
Xinyi Chen, Han Cheng, Shanlin Huang
This paper is dedicated to studying pointwise estimates of the fundamental solution for the higher order Schrödinger equation: % we investigate the fundamental solution of the hig…