Polynomially decaying transmission for the nonlinear Schrödinger equation in a random medium (Q1093259)
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scientific article; zbMATH DE number 4022316
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Polynomially decaying transmission for the nonlinear Schrödinger equation in a random medium |
scientific article; zbMATH DE number 4022316 |
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Polynomially decaying transmission for the nonlinear Schrödinger equation in a random medium (English)
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1986
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This is the first study of one of the transmission problems associate to the nonlinear Schrödinger equation with a random potential. We show that for almost every realization of the medium the rate of transmission vanishes when increasing the size of the medium; however, whereas it decays exponentially in the linear regime, it decays polynomially in the nonlinear one.
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localization
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nonlinear waves
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disordered media
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transmission problems
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Schrödinger equation
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