Title: On nodal sets and nodal domains on S^2 and R^2
Abstract:We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on S^2. We also construct a solution of the equation Delta u=u in R^...We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on S^2. We also construct a solution of the equation Delta u=u in R^2 that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.Read More
Publication Year: 2006
Publication Date: 2006-11-21
Language: en
Type: preprint
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Cited By Count: 3
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