DIRICHLET AND NEUMANN EXTERIOR PROBLEMS FOR THE n-DIMENSIONAL LAPLACE OPERATOR AN APPROACH IN WEIGHTED SOBOLEV SPACES
DIRICHLET AND NEUMANN EXTERIOR PROBLEMS FOR THE n-DIMENSIONAL LAPLACE OPERATOR AN APPROACH IN WEIGHTED SOBOLEV SPACES
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DOI：
10.1016/s0021-7824(97)89945-x
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发表时间：
1997
期刊：
影响因子：
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通讯作者：
C. Amrouche;V. Girault;J. Giroire
中科院分区：
文献类型：
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作者：
C. Amrouche;V. Girault;J. Giroire
本文解决了Rn外区域上Laplace算子的Dirichlet和Neumann问题。数据和解在无穷远处的行为是通过将每个问题设置在加权Sobolev空间中来确定的，它扩展了经典的Wm，p空间，并且非常适合于涉及Laplace算子的问题的理论和数值解。
This paper solves Dirichlet and Neumann problems for the Laplace operator in exterior domains of Rn. The behaviours at infinity of the data and the solution are determined by setting each problem in weighted Sobolev spaces, that extend the classical Wm,pspaces and are very well adapted to the theoretical and numerical solution of problems involving the Laplace operator.