Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament. (Q1413603)
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scientific article; zbMATH DE number 2004929
| Language | Label | Description | Also known as |
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| English | Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament. |
scientific article; zbMATH DE number 2004929 |
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Well-posedness for the fourth-order nonlinear Schrödinger-type equation related to the vortex filament. (English)
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17 November 2003
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The author studies the initial value problem for a 1D nonlinear Schrödinger-type equation with variable coefficients. He proves time-local well-posedness in the Sololev space \(H^s(\mathbb{R})\) for \(0.5\leq s\).
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nonlinear Schrödinger-type equation
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initial value problem
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time-local well-posedness
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