Norwegian University of Science and Technology

most citedSpecificity and stability in topology of protein networks

3.1k citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2021 · math.APShow all

5 papers · 2 filters

math.AP2021★ 12 cited

Uniqueness of conservative solutions for the Hunter-Saxton equation

Katrin Grunert, Helge Holden

We show that the Hunter-Saxton equation $u_{t} + u u_{x} = \frac{1}{4} (\int_{- \infty}^{x} d μ (t, z) - \int_{x}^{\infty} d μ (t, z))$ and $μ_{t} + (uμ)_{x} = 0$ has a unique, global, weak, and conservativ…

math.AP2021★ 2 cited

One-sided Hölder regularity of global weak solutions of negative order dispersive equations

Ola I. H. Maehlen, Jun Xue

We prove global existence, uniqueness and stability of entropy solutions with $L^{2} \cap L^{\infty}$ initial data for a general family of negative order dispersive equations. It is fur…

math.AP2021★ 2 cited

Stumpons are non-conservative traveling waves of the Camassa-Holm equation

Sondre Tesdal Galtung, Katrin Grunert

It is well-known that by requiring solutions of the Camassa--Holm equation to satisfy a particular local conservation law for the energy in the weak sense, one obtains what is know…

math.AP2021

Hausdorff measure bounds for nodal sets of Steklov eigenfunctions

Stefano Decio

We study nodal sets of Steklov eigenfunctions in a bounded domain with $C^{2}$ boundary. Our first result is a lower bound for the Hausdorff measure of the nodal set: we sh…

math.AP2021★ 8 cited

Lipschitz Stability for the Hunter-Saxton Equation

Katrin Grunert, Matthew Tandy

We study the Lipschitz stability in time for $α$ -dissipative solutions to the Hunter-Saxton equation, where $α \in [0, 1]$ is a constant. We define metrics in both Lagrangian and Eul…