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不适定的部分Dirichlet问题广义解的右逆表示
A Representation of Right Inverse to the Ill-Posed Partial Dirichlet Boundary Value Problem
【摘要】 对于曹伟平,马吉溥给出的部分Dirichlet问题的广义解的定义进行进一步研究,证得该问题的广义解等价于同一偏微分方程的齐次Dirichlet-Neumann混杂问题的弱解,并用算子右逆给出该广义解的表示.
【Abstract】 We further study on the definition of general solution of ill-posed partial boundary value problem that Weiping Cao and Jipu Ma obtained.We prove that this problem is equivalence to the weak solution of homogeneous Dirichlet and Neumann mix boundary problem to the same PDE and obtained the representation of right inverse to the general solution of the ill-posed problem.
【基金】 国家自然科学基金资助项目(11071051)
- 【文献出处】 数学学报 ,Acta Mathematica Sinica , 编辑部邮箱 ,2012年05期
- 【分类号】O175
- 【下载频次】43