游淑军, 宁效琦. 一类二维广义Zakharov方程的适定性[J]. 华南师范大学学报(自然科学版), 2012, 44(2).
引用本文: 游淑军, 宁效琦. 一类二维广义Zakharov方程的适定性[J]. 华南师范大学学报(自然科学版), 2012, 44(2).
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).

一类二维广义Zakharov方程的适定性

Well-posedness for a Two-dimensional Generalized Zakharov Equations

  • 摘要: 考虑一类广义Zakharov方程的Cauchy问题的适定性. 通过一系列的先验估计, 利用Galerkin方法, 对于二维广义Zakharov方程的Cauchy问题得到了整体光滑解的存在性和惟一性.

     

    Abstract: 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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