Nonexistence of global solutions for fractional temporal Schrodinger equations and systems
We, first, consider the nonlinear Schrodinger equation $$ i^\alpha {}_0^C D_t^\alpha u+\Delta u= \lambda |u|^p+\mu a(x)\cdot\nabla |u|^q, \quad t>0,\; x\in \mathbb{R}^N, $$ where 0<\alpha lt;1, $i^\alpha$ is the principal value of $i^\alpha$, ${}_0^C D_t^\alpha $ is the Caputo fractional deriv...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/276/abstr.html |