Observability for the Schrödinger Equation: an Optimal Transportation Approach
Overview & Synopsis
We establish an observation inequality for the Schr\"odinger equation on $\bR^d$, uniform in the Planck constant $\hbar\in[0,1]$. The proof is based on the pseudometric introduced in [F. Golse, T. Paul, Arch. Rational Mech. Anal. \textbf{223} (2017), 57--94]. This inequality involves only effective constants which are computed explicitly in their dependence in $\hbar$ and all parameters involved.
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Document Information
| Document Title | Observability for the Schrödinger Equation: an Optimal Transportation Approach |
|---|---|
| Author / Organization | François Golse, Thierry Paul |
| Subject & Discipline | Multidisciplinary Academic Open Research |
| Categories | Science & Mathematics |
| Publication Year | 2022 |
| License / Rights | Open Access / Creative Commons |
| Resource Verification | Listed PDF (Verification Pending) |
| Original Host Website |
HAL Open Science
(hal.science)
|
| File Format | application/pdf (Portable Document Format) |
| Language | EN |
| Catalog ID | DOC-241232 |
| Original Source Link | Visit Source Page on hal.science » |