Optimal bilinear control for Gross-Pitaevskii equations with singular potentials
We study the optimal bilinear control problem of the generalized Gross-Pitaevskii equation $$ i\partial_{t}u=-\Delta u+U(x)u+\phi(t)\frac{1}{|x|^{\alpha}}u +\lambda|u|^{2\sigma}u,\quad x\in \mathbb{R}^3, $$ where U(x) is the given external potential, $\phi(t)$ is the control function. The e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2019-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2019/115/abstr.html |