Document Zbl 0872.35006

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arXiv Preprints

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Summary: We announce the result that the first nodal line of a convex planar domain tends to a straight line as the eccentricity tends to infinity.

35B05	Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
35P05	General topics in linear spectral theory for PDEs
35J05	Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation

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