Nonexistence of non-trivial global weak solutions for higher-order nonlinear Schrodinger equations
We study the initial-value problem for the higher-order nonlinear Schrodinger equation $$ i\partial_{t}u-(-\Delta)^{m}u=\lambda| u|^{p}, $$ subject to the initial data $$ u(x,0)=f(x), $$ where $u=u(x,t)\in\mathbb{C}$ is a complex-valued function, $(x,t)\in\mathbb{R}^{N}\times[0,+\infty)$,...
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| Format: | Article |
| Language: | English |
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Texas State University
2015-12-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/312/abstr.html |