| 一类广义长短波方程的整体适定性 |
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| 引用本文： | 张瑞凤,梁宏伟.一类广义长短波方程的整体适定性[J].数学季刊,2006,21(4):538-544. |
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| 作者姓名： | 张瑞凤 梁宏伟 |
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| 作者单位： | College of Mathematics and Information Science Henan University，College of Mathematics and Information Science，Henan University，Kaifeng 475001，China，Kaifeng 475001，China |
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| 摘 要： | In the present paper,we investigate the well-posedness of the global solution for the Cauchy problem of generalized long-short wave equations.Applying Kato's method for abstract quasi-linear evolution equations and a priori estimates of solution,we get the existence of globally smooth solution.
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| 关 键 词： | 广义短波方程 柯西问题 准线性演化方程 平滑解 |
Global Well-posedness of the Generalized Long-short Wave Equations |
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| ZHANG Rui-feng,LIANG Hong-wei.Global Well-posedness of the Generalized Long-short Wave Equations[J].Chinese Quarterly Journal of Mathematics,2006,21(4):538-544. |
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| Authors: | ZHANG Rui-feng LIANG Hong-wei |
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| Institution: | College of Mathematics and Information Science, Henan University, Kaifeng 475001, China |
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| Abstract: | In the present paper,we investigate the well-posedness of the global solution for the Cauchy problem of generalized long-short wave equations.Applying Kato's method for abstract quasi-linear evolution equations and a priori estimates of solution,we get the existence of globally smooth solution. |
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| Keywords: | the generalized long-short wave equations Kato's method uniformly a priori estimate global well-posedness |
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