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Global Well-posedness of the Generalized Long-short Wave Equations 被引量:2

Global Well-posedness of the Generalized Long-short Wave Equations
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摘要 In the present paper, we investigate the well-posedness of the global solutionfor the Cauchy problem of generalized long-short wave equations. Applying Kato's methodfor abstract quasi-linear evolution equations and a priori estimates of solution,we get theexistence of globally smooth solution.
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 北大核心 2006年第4期538-544,共7页 数学季刊(英文版)
关键词 the generalized long-short wave equations Kato's method uniformly a prioriestimate global well-posedness 广义短波方程 柯西问题 准线性演化方程 平滑解
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