The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity (Q1810734)
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scientific article; zbMATH DE number 1924841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity |
scientific article; zbMATH DE number 1924841 |
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The Cauchy problem for the Schrödinger equation in dimension three with concentrated nonlinearity (English)
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9 June 2003
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The authors study the 3D nonlinear Schrödinger equation with a nonlinearity concentrated in a finite number of points. Local existence is proved. For a repulsive or weakly attractive nonlinearity a generalization to global existence is obtained.
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3D nonlinear Schrödinger equation
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point interactions
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nonlinear Dirac delta potentials
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existence and uniqueness in energy space
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Cauchy problem
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0.9586395
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0.9296291
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0.92674714
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0.9212085
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