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一类广义(2+1)维非自治长短波方程的整体光滑解的存在唯一性 被引量:1

Smooth Global Solution of Generalized(2+1) Dimensional Non-autonomous Long-short Wave Equations
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摘要 利用先验估计和Galerkin方法,研究了非线性广义耗散(2+1)维非自治长短波方程在H4per(Ω)×H3per(Ω)上光滑解的整体存在唯一性. By using the methods of priori estimates and Galerkin,the existence and uniqueness of smooth solution of the nonlinear generalized dissipative(2 + 1) dimensional non-autonomous long-short wave equations were studied in H^4per(Ω) × H^3per(Ω).
作者 孙凯 辛杰
出处 《鲁东大学学报(自然科学版)》 2015年第1期1-4,31,共5页 Journal of Ludong University:Natural Science Edition
基金 国家自然科学基金(11371183 11271050) 山东省自然科学基金(ZR2013AM004)
关键词 非自治(2+1)维长短波方程 先验估计 GALERKIN方法 (2 + 1) dimensional non-autonomous long-short wave equations priori estimates Galerkin method
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参考文献8

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二级参考文献7

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共引文献3

同被引文献15

  • 1Zhang Ruifeng,Guo Boling.GLOBAL SOLUTION AND ITS LONG TIME BEHAVIOR FOR THE GENERALIZED LONG-SHORT WAVE EQUATIONS[J].Journal of Partial Differential Equations,2005,18(3):206-218. 被引量:6
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  • 10Cui Hongyong,Xin Jie,Li Anran.Weakly compact uniform attractor for the non-autonomous long-short wave equations[J].Abstract and Applied Analysis,2013,2013:601325.

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