On the blowing up of solutions for one system of Schrödinger equations (Q1873273)
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scientific article; zbMATH DE number 1912634
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the blowing up of solutions for one system of Schrödinger equations |
scientific article; zbMATH DE number 1912634 |
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On the blowing up of solutions for one system of Schrödinger equations (English)
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19 May 2003
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The author considers the following system of nonlinear Schrödinger equations \[ i {\partial u_k\over \partial t}= a_k\Delta u_k +F_k(x, |u_1|^2,\ldots, |u_m|^2)u_k,\quad t>0,\;x\in{\mathbb R}^n,\;k=1,\ldots,m, \] with initial conditions \(u_k(0,x)=u_{k0}(x). \) There are obtained conditions on blowing up of the solution.
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Schrödinger equation
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nonlinear problem
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blow-up
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0.9374956488609314
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0.8915091156959534
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0.8855146765708923
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