Norwegian University of Science and Technology

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19922026

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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124 papers · 1 filter

math.AP2025

Nonlocal degenerate parabolic hyperbolic equations on bounded domains. Part II: Existence

Jørgen Endal, Espen R Jakobsen, Ola Mæhlen

We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations $\partial_{t} u + div (f (u)) = L [b (u)]$ on bounded domains with general Diric…

math.AP2024★ 3 cited

Hardy's Uncertainty principle for Schrödinger equations with quadratic Hamiltonians

Elena Cordero, Gianluca Giacchi, Eugenia Malinnikova

Hardy's uncertainty principle is a classical result in harmonic analysis, stating that a function in $L^{2} (R^{d})$ and its Fourier transform cannot both decay arbitrarily fas…

math.AP2024

The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient flow

Sondre Tesdal Galtung

We show how the sticky dynamics for the one-dimensional pressureless Euler-alignment system can be obtained as an $L^{2}$ -gradient flow of a convex functional. This is analogous to t…

math.AP2023

Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems

José Antonio Carrillo, Sondre Tesdal Galtung

We study distributional solutions of pressureless Euler systems on the line. In particular we show that Lagrangian solutions, introduced by Brenier, Gangbo, Savaré and Westdickenbe…

math.AP2023

Nonlocal degenerate parabolic hyperbolic equations on bounded domains

Nathaël Alibaud, Jørgen Endal, Espen Jakobsen +1

We study well-posedness of degenerate mixed-type parabolic-hyperbolic equations $\partial_{t} u + div (f (u)) = L [b (u)]$ on bounded domains with general Dirichl…

math.AP2023★ 6 cited

Mean field limit for one dimensional opinion dynamics with Coulomb interaction and time dependent weights

Immanuel Ben Porat, José A. Carrillo, Sondre T. Galtung

The mean field limit with time dependent weights for a 1D singular case, given by the attractive Coulomb interactions, is considered. This extends recent results [1,8] for the case…

math.AP2023★ 5 cited

A Lipschitz metric for $α$ -dissipative solutions to the Hunter-Saxton equation

Katrin Grunert, Matthew Tandy

We explore the Lipschitz stability of solutions to the Hunter-Saxton equation with respect to the initial data. In particular, we study the stability of $α$ -dissipative solutions…

math.AP2023★ 5 cited

Inverse problems for a model of biofilm growth

Tommi Brander, Daniel Lesnic, Kai Cao

A bacterial biofilm is an aggregate of micro-organisms growing fixed onto a solid surface, rather than floating freely in a liquid. Biofilms play a major role in various practical…

math.AP2022★ 9 cited

Global existence of dissipative solutions to the Camassa--Holm equation with transport noise

Luca Galimberti, Helge Holden, Kenneth H. Karlsen +1

We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa--Holm equation perturbed by a convective, position-dependent, noise term.…

math.AP2022★ 16 cited

Global well-posedness of the viscous Camassa--Holm equation with gradient noise

Helge Holden, Kenneth H. Karlsen, Peter H. C. Pang

We analyse a nonlinear stochastic partial differential equation that corresponds to a viscous shallow water equation (of the Camassa--Holm type) perturbed by a convective, position…

math.AP2022★ 6 cited

Evolution Driven by the Infinity Fractional Laplacian

Félix del Teso, Jørgen Endal, Espen R. Jakobsen +1

We consider the evolution problem associated to the infinity fractional Laplacian introduced by Bjorland, Caffarelli and Figalli (2012) as the infinitesimal generator of a non-Brow…

math.AP2022★ 17 cited

Dynamical versions of Hardy's uncertainty principle: A survey

Aingeru Fernández-Bertolin, Eugenia Malinnikova

The Hardy uncertainty principle says that no function is better localized together with its Fourier transform than the Gaussian. The textbook proof of the result, as well as one of…

math.AP2022★ 2 cited

Large-time behaviour for anisotropic stable nonlocal diffusion problems with convection

Jørgen Endal, Liviu I. Ignat, Fernando Quirós

We study the large-time behaviour of nonnegative solutions to the Cauchy problem for a nonlocal heat equation with a nonlinear convection term. The diffusion operator is the infini…

math.AP2022★ 11 cited

Nonlocal nonlinear diffusion equations. Smoothing effects, Green functions, and functional inequalities

Matteo Bonforte, Jørgen Endal

We establish boundedness estimates for solutions of generalized porous medium equations of the form $$ \partial_t u+(-\mathfrak{L})[u^m]=0\quad\quad\text{in $\mathbb{R}^N\times(0,T…

math.AP2022★ 2 cited

Shock interactions for the Burgers-Hilbert Equation

Alberto Bressan, Sondre T. Galtung, Katrin Grunert +1

This paper provides an asymptotic description of a solution to the Burgers-Hilbert equation in a neighborhood of a point where two shocks interact. The solution is obtained as the…

math.AP2022★ 4 cited

Symmetric doubly periodic gravity-capillary waves with small vorticity

Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén

We construct small amplitude gravity-capillary water waves with small nonzero vorticity, in three spatial dimensions, bifurcating from uniform flows. The waves are symmetric, and p…

math.AP2022★ 5 cited

Periodic Hölder waves in a class of negative-order dispersive equations

Fredrik Hildrum, Jun Xue

We prove the existence of highest, cusped, periodic travelling-wave solutions with exact and optimal $α$ -Hölder continuity in a class of fractional negative-order dispersive equat…

math.AP2022★ 1 cited

Uniform tail estimates and $L^{p} (R^{N})$ -convergence for finite-difference approximations of nonlinear diffusion equations

Félix del Teso, Jørgen Endal, Espen R. Jakobsen

We obtain new equitightness and $C ([0, T]; L^{p} (R^{N}))$ -convergence results for finite-difference approximations of generalized porous medium equations of the form $$ \partial…

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