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- W2022785779 abstract "Let S denote the square [0, 1] × [0, 1] and let p(x, y) be a positive continuous function defined in S. Considering the membrane equation defined in S with the density function p(x, y): ∇2(x, y) + λp(x, y)(x, y) = 0, |S = 0, we find some information about the nodal domains of the eigenfunctions which form the necessary and sufficient conditions for the density function p(x, y) to be separable. We also show how to apply this nodal information about the square membrane to reconstruct the density function and to find the mass of the membrane." @default.
- W2022785779 created "2016-06-24" @default.
- W2022785779 creator A5065977381 @default.
- W2022785779 date "2008-08-19" @default.
- W2022785779 modified "2023-09-26" @default.
- W2022785779 title "The nodal sets of the eigenfunctions of a nonhomogeneous square membrane" @default.
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- W2022785779 doi "https://doi.org/10.1088/0266-5611/24/5/055007" @default.
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