1 citations · 1 across the 5 of their papers we have counts for
7 papers
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…
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…
Anderson localization in high-contrast media with random spherical inclusions
Matteo Capoferri, Matthias Täufer
We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with rando…
Faber-Krahn inequality for the heat content on quantum graphs via random walk expansion
Patrizio Bifulco, Matthias Täufer
We study the heat content on quantum graphs and investigate whether an analogon of the Rayleigh-Faber-Krahn inequality holds. This means that heat content at time among graphs…
Torsional Rigidity on Metric Graphs with Delta-Vertex Conditions
Sedef Özcan, Matthias Täufer
We investigate the torsion function or landscape function and its integral, the torsional rigidity, of Laplacians on metric graphs subject to -vertex conditions. A variational c…
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…
Towards a theory of eigenvalue asymptotics on infinite metric graphs: the case of diagonal combs
James B. Kennedy, Delio Mugnolo, Matthias Täufer
We examine diagonal combs, a recently identified class of infinite metric graphs whose properties depend on one parameter. These graphs exhibit a fascinating regime where they poss…