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

From MaRDI portal





scientific article; zbMATH DE number 6330925
Language Label Description Also known as
English
Generalized Strichartz estimates and scattering for 3D Zakharov system
scientific article; zbMATH DE number 6330925

    Statements

    Generalized Strichartz estimates and scattering for 3D Zakharov system (English)
    0 references
    0 references
    0 references
    0 references
    0 references
    15 August 2014
    0 references
    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.
    0 references
    0 references
    angular regularity
    0 references
    dispersive equations
    0 references
    Schrödinger equation
    0 references
    0 references
    0 references
    0 references
    0 references
    0 references

    Identifiers

    0 references
    0 references
    0 references
    0 references
    0 references
    0 references