2 papers
math.AP2026
Fractal Remez inequality on the sphere and observability of the heat equation
Xinyi Chen, Shanlin Huang
This paper is concerned with Remez-type inequalities and their applications in observability inequality. Our aim is twofold. First, we establish the following fractal Remez's inequ…
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 high…