On the Cauchy Problem for the Zakharov S
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J. Ginibre; Y. Tsutsumi; G. Velo
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Article
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1997
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Elsevier Science
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English
β 672 KB
We study the local Cauchy problem in time for the Zakharov system, (1.1) and (1.2), governing Langmuir turbulence, with initial data (u(0), n(0), t n(0)) # H k Γ H l ΓH l&1 , in arbitrary space dimension &. We define a natural notion of criticality according to which the critical values of (k, l) ar