We discuss possible topological configurations of nodal sets, in particular the number of their components, for spherical harmonics on S2. We also construct a solution of the equation δu = u in ℝ2 that has only two nodal domains. This equation arises in the study of high energy eigenfunctions.
CITATION STYLE
Eremenko, A., Jakobson, D., & Nadirashvili, N. (2007). On nodal sets and nodal domains on S2 and R2. Annales de l’Institut Fourier, 57(7), 2345–2360. https://doi.org/10.5802/aif.2335
Mendeley helps you to discover research relevant for your work.