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    题名 作者 年代 出处 被引量
1Sharpness of some properties of weighted modulation spaces显示文摘We obtain some optimal properties on weighted modulation spaces. We find the necessary and sufficient conditions for product inequalities, convolution inequalities and embedding on weighted modulation spaces. Especially, we establish the analogue of the sharp Sobolev embedding theorem on weighted modulation spaces.GUO WeiChao FAN DaShan WU HuoXiong ZHAO GuoPing 2016Science China Mathematics2016,59,1:3
2Modulation space estimates for damped fractional wave equation显示文摘Instead of the L^p estimates,we study the modulation space estimates for the solution to the damped wave equation.Decay properties for both the linear and semilinear equations are obtained.The estimates in modulation space differ in many aspects from those in L^p space.ZHANG ChunJie ZHANG YuHuai REN FangFang 2016Science China Mathematics2016,59,4:1
3Non-integer power estimate in modulation spaces and its applications显示文摘We give a method to estimate non-integer power function|u|~ku in modulation space which is an open question in the study of modulation space.As an application,we can study Cauchy problem for the nonlinear Klein-Gordon equation with nonlinear term|u|~ku in modulation space,where k is not an integer.Moreover,we also study the global solution with small initial value for the Klein-Gordon-Hartree equation.The results show some advantages of modulation space both in high and low regularity cases.CHEN JieCheng HUANG Qiang ZHU XiangRong 2017Science China Mathematics2017,60,8:1
4阻尼波动方程在模空间上的一些估计显示文摘本文研究分数次阻尼波动方程解在模空间上的估计及相应的时空估计,作为应用,我们将得到小初值条件下一类Cauchy问题的全局解.陈杰诚 范大山 张纯洁 2013中国科学:数学2013,43,4:1
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