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math.AP2026
Sharp decay rate and asymptotic simplification for a quasilinear heat equation
Maryam Al Hajjar, Ioana Ciotir, Matthias Täufer
We study the decay rate for a quasilinear heat equation of the form . The term on the right-hand-side is interpreted as a nonlinear per…
math.AP2026
Optimal Spectral Inequality for the Higher-Dimensional Landau Operator
Sedef Özcan, Matthias Täufer
We prove optimal spectral inequalities for Landau operators in full space and in arbitrary dimension. Spectral inequalities are lower bounds on the L 2 -mass of functions in spectr…
math.AP2024
Graph structure of the nodal set and bounds on the number of critical points of eigenfunctions on Riemannian manifolds
Matthias Hofmann, Matthias Täufer
In this article, we illustrate and draw connections between the geometry of zero sets of eigenfunctions, graph theory and the vanishing order of eigenfunctions. We identify the nod…