Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data (Q525567)
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scientific article; zbMATH DE number 6711825
| Language | Label | Description | Also known as |
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| English | Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data |
scientific article; zbMATH DE number 6711825 |
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Minimal mass non-scattering solutions of the focusing \(L^2\)-critical Hartree equations with radial data (English)
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5 May 2017
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The authors consider the Cauchy problem of the focusing \(L^2\)-critical Hartree equations. Given spherically symmetric \(H^1\) data in dimensions 3 and 4, the global non-scattering solution with ground state mass must be a solitary wave up to symmetries of the equation. This result is obtained with a linearization analysis about the ground state combined with an in-out spherical wave decomposition technique.
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mass-critical Hartree equation
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minimal mass
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non-scattering
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