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广义D-P类方程在有界域上的初边值问题 被引量:1

The Solution for D-P Type of Evolution Equation on Bounded Field
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摘要 证明了广义D-P类方程的局部解、整体解的存在性,并给出了广义D-P类方程局部解、整体解存在的充分条件.对解的性质进行了讨论,得到了相应的结果. The paper proved the existence of local solution of initial value problem for D-P equation.The global solution existence of initial value problem for the equation was also proved by priorestimations.Give the academic elements for the application of D-P equation in elastic material.
出处 《湘潭大学自然科学学报》 CAS 北大核心 2016年第1期6-9,共4页 Natural Science Journal of Xiangtan University
基金 国家自然科学基金项目(11371175) 广东省育苗工程(自然科学)项目(2013LYM_0112)
关键词 广义D-P类方程 整体解 存在性 D-P equation global solution existence
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二级参考文献1

  • 1Adrian Constantin,Joachim Escher. On the structure of a family of quasilinear equations arising in shallow water theory[J] 1998,Mathematische Annalen(3):403~416

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