Phenomena of Blowup and Global Existence of the Solution to a Nonlinear Schrödinger Equation
We consider the following Cauchy problem: -iut=Δu-V(x)u+f(x,|u|2)u+(W(x)⋆|u|2)u, x∈ℝN,t>0, u(x, 0)=u0(x),x∈ℝN, where V(x) and W(x) are real-valued potentials and V(x)≥0 and W(x) is even, f(x,|u|2) is measurable in x and continuous in |u|2, and u0(x) is a complex-valued function of x. We obtain so...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/238410 |