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Well-posedness for a Two-dimensional Generalized Zakharov Equations[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
Citation: Well-posedness for a Two-dimensional Generalized Zakharov Equations[J]. Journal of South China Normal University (Natural Science Edition), 2012, 44(2).
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Well-posedness for a Two-dimensional Generalized Zakharov Equations

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  • The existence and uniqueness of solutions to the Cauchy problem for a class of generalized Zakharov equations in two-dimensions are investigated. By virtue of a priori integral estimate and Galerkin method, the global existence and uniqueness of the solution to the problem are established.
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