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 2014 · math.APShow all

5 papers · 2 filters

math.AP2014

Convergence of finite difference schemes for the Benjamin-Ono equation

Rajib Dutta, Helge Holden, Ujjwal Koley +1

In this paper, we analyze finite difference schemes for Benjamin-Ono equation, u_t = uu_x + Hu_{xx}, where H denotes the Hilbert transform. Both the decaying case on the full line…

math.AP2014★ 1 cited

Shadows of infinities

Tuomo Kuusi, Peter Lindqvist, Mikko Parviainen

We study unbounded "supersolutions" of the Evolutionary $p$ -Laplace equation with slow diffusion. They are the same functions as the viscosity supersolutions. A fascinating dichoto…

math.AP2014★ 3 cited

A continuous interpolation between conservative and dissipative solutions for the two-component Camassa-Holm system

Katrin Grunert, Helge Holden, Xavier Raynaud

We introduce a novel solution concept, denoted $α$ -dissipative solutions, that provides a continuous interpolation between conservative and dissipative solutions of the Cauchy prob…

math.AP2014★ 15 cited

On ratios of harmonic functions

Alexander Logunov, Eugenia Malinnikova

Let $u$ and $v$ be harmonic in $Ω \subset R^{n}$ functions with the same zero set $Z$ . We show that the ratio $f$ of such functions is always well-defined and is real analyt…

math.AP2014

Perron's method for the porous medium equation

Juha Kinnunen, Peter Lindqvist, Teemu Lukkari

This work extends Perron's method for the porous medium equation in the slow diffusion case. The main result shows that nonnegative continuous boundary functions are resolutive in…