DIRICHLET PROBLEMS FOR STATIONARY VON NEUMANN-LANDAU WAVE EQUATIONS |
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| Authors: | Chen Zeqian |
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| Affiliation: | bWuhan Institute of Physics and Mathematics, Chinese Academy of Sciences P.O. Box 71010, 30 West District, Xiao-Hong Mountain, Wuhan 430071, China |
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| Abstract: | In this article, we are concerned with the Dirichlet problem of the stationary von Neumann–Landau wave equation: {(- Δx+ Δy) Φ( x, y)=0, x, y Ω, Φ|  Ω× Ω= f, | where Ω is a bounded domain in Rn. By introducing anti-inner product spaces, we show the existence and uniqueness of the generalized solution for the above Dirichlet problem by functional-analytic methods.
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| Keywords: | von Neumann-Landau equation wave functions Dirichlet problem2000 MR Subject Classification: 35Q40 35D05 |
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