2 papers
math.AP2025
Quantitative observability for the Schrödinger equation with an anharmonic oscillator
Shanlin Huang, Gengsheng Wang, Ming Wang
This paper studies the observability inequalities for the Schrödinger equation associated with an anharmonic oscillator $H=-\frac{\d^2}{\d x^2}+|x|$. We build up the observability…
math.AP2024
Observability inequality, log-type Hausdorff content and heat equations
Shanlin Huang, Gengsheng Wang, Ming Wang
This paper studies observability inequalities for heat equations on both bounded domains and the whole space . The observation sets are measured by log-type Hausdorff…