Norwegian University of Science and Technology

output

19922026

most citedSpecificity and stability in topology of protein networks

3.1k citations

researchers with a paper here

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

collaborating institutions

Showing 2010 · math.APShow all

7 papers · 2 filters

math.AP2010★ 12 cited

Abstract Wave Equations and Associated Dirac-Type Operators

Fritz Gesztesy, Jerome A. Goldstein, Helge Holden +1

We discuss the unitary equivalence of generators $G_{A, R}$ associated with abstract damped wave equations of the type $u ¨ + R u ˙ + A^{*} A u = 0$ in some Hilbert space $\ma…

math.AP2010

Dispersive estimate for the 1D Schrödinger equation with a steplike potential

Piero D'Ancona, Sigmund Selberg

We prove a sharp dispersive estimate $∣ P_{a c} u (t, x) ∣ \leq C ∣ t ∣^{- 1/2} ∥ u (0) ∥_{L^{1} (R)}$ for the one dimensional Schrödinger equation $i u_{t} - u_{xx} + V (x) u + V_{0} u = 0,$ where $(1+…

math.AP2010

On the Dynamics of a Fluid-Particle Interaction Model: The Bubbling Regime

Jose A. Carrillo, Trygve Karper, Konstantina Trivisa

This article deals with the issues of global-in-time existence and asymptotic analysis of a fluid-particle interaction model in the so-called bubbling regime. The mixture occupies…

math.AP2010★ 47 cited

Lipschitz metric for the periodic Camassa-Holm equation

Katrin Grunert, Helge Holden, Xavier Raynaud

We study stability of conservative solutions of the Cauchy problem for the periodic Camassa-Holm equation $u_{t} - u_{xx t} + κ u_{x} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ with initial data $u_{0}$ . In…

math.AP2010★ 85 cited

Entropy Solution Theory for Fractional Degenerate Convection-Diffusion Equations

Simone Cifani, Espen R. Jakobsen

We study a class of degenerate convection diffusion equations with a fractional nonlinear diffusion term. These equations are natural generalizations of anomalous diffusion equatio…

math.AP2010★ 21 cited

Quantitative uniqueness for elliptic equations with singular lower order terms

E. Malinnikova, S. Vessella

We use a Carleman type inequality of Koch and Tataru to obtain quantitative estimates of unique continuation for solutions of second order elliptic equations with singular lower or…

math.AP2010

Finite-energy global well-posedness of the Maxwell-Klein-Gordon system in Lorenz gauge

Sigmund Selberg, Achenef Tesfahun

It is known that the Maxwell-Klein-Gordon system (M-K-G), when written relative to the Coulomb gauge, is globally well-posed for finite-energy initial data. This result, due to Kla…