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Generalized Strichartz estimates and scattering for 3D Zakharov system - MaRDI portal

Generalized Strichartz estimates and scattering for 3D Zakharov system (Q398741)

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scientific article; zbMATH DE number 6330925
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Generalized Strichartz estimates and scattering for 3D Zakharov system
scientific article; zbMATH DE number 6330925

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    Generalized Strichartz estimates and scattering for 3D Zakharov system (English)
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    15 August 2014
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    The authors consider the Schrödinger type dispersive equations \(i \partial_t u +D^{a}u=0,\;u(0,x)=f(x)\), where \(u: \mathbb{R}\times \mathbb{R}^d \to \mathbb{C},\;D=\sqrt{-\Delta},\;a\neq 1\) for which they obtain generalized Strichartz estimates in the space of \(L^2\) angular integrable functions. These estimates are further used in the paper to show scattering for the \(3\)D Zakharov system with non-radial small initial data with certain angular regularity.
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    angular regularity
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    dispersive equations
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    Schrödinger equation
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