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20202026
most citedA counterexample to Payne's nodal line conjecture with few holes

9 citations · 25 across the 7 of their papers we have counts for

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math.AP2026

Non-uniqueness for the Complex Ginzburg-Landau Equation

Joel Dahne, Vladimír Šverák

We show that singularities of the three-dimensional cubic complex Ginzburg-Landau equation developing from smooth initial data can induce non-uniqueness of solutions after the time…

math.SP2026

Monotonicity of the first Dirichlet eigenvalue of regular polygons

Joel Dahne, Javier Gómez-Serrano, Joana Pech-Alberich

In this paper we prove that the first Dirichlet eigenvalue of an -sided regular polygon of fixed area is a monotonically decreasing function of for all , a…