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Frequency-uniform decomposition, function spaces \(X^s_{p, q}\), and applications to nonlinear evolution equations - MaRDI portal

Frequency-uniform decomposition, function spaces \(X^s_{p, q}\), and applications to nonlinear evolution equations (Q2392168)

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Frequency-uniform decomposition, function spaces \(X^s_{p, q}\), and applications to nonlinear evolution equations
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    Frequency-uniform decomposition, function spaces \(X^s_{p, q}\), and applications to nonlinear evolution equations (English)
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    1 August 2013
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    Summary: By combining frequency-uniform decomposition with \(L^p(\ell^q)\), we introduce a new class of function spaces (denoted by \(X^s_{p, q}\)). Moreover, we study the Cauchy problem for the generalized NLS equations and Ginzburg-Landau equations in \(L^r(0, T; X^s_{p, 1})\).
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    frequency-uniform decomposition
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    function space
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    Cauchy problem
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