Decay estimates for Schrödinger equations (Q749780)
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scientific article; zbMATH DE number 4173549
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decay estimates for Schrödinger equations |
scientific article; zbMATH DE number 4173549 |
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Decay estimates for Schrödinger equations (English)
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1990
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A class of nonlinear, nonlocal Schrödinger equations is considered; the Laplacian is replaced by a second order constant coefficient operator corresponding to a nondegenerate quadratic form. The Davey-Stewartson system belongs to this class. Adapted Sobolev spaces and a Gagliardo- Nirenberg type estimate are employed to prove global existence and optimal decay estimates in time for classical solutions.
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Davey-Stewartson system
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global existence
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decay estimates
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classical solutions
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