On the damped nonlinear Schrödinger equation with delta functions as initial data (Q1012029)
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scientific article; zbMATH DE number 5543337
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the damped nonlinear Schrödinger equation with delta functions as initial data |
scientific article; zbMATH DE number 5543337 |
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On the damped nonlinear Schrödinger equation with delta functions as initial data (English)
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14 April 2009
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The author consider the Cauchy problem for the damped nonlinear Schrödinger equation in \({\mathbb R}^n\), when the initial data is an infinite sum of delta functions. The mutual influence of nonlinearity and damping on the behavior of the solution, leading either to blowup or to global existence of a solution, is analyzed.
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damped nonlinear Schrödinger equation
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delta function
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