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math.CA2025
Conditional existence of maximizers for the Tomas-Stein inequality for the sphere
Shuanglin Shao, Ming Wang
The Tomas-Stein inequality for a compact subset of the sphere states that the mapping is bounded from to . Then co…
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…