H. Holden

activity

19932023

most citedThe Kolmogorov-Riesz compactness theorem

168 citations · 614 across the 54 of their papers we have counts for

collaborators

Showing 2011 · math.APShow all

3 papers · 2 filters

math.AP2011★ 70 cited

Global solutions for the two-component Camassa-Holm system

K. Grunert, H. Holden, X. Raynaud

We prove existence of a global conservative solution of the Cauchy problem for the two-component Camassa-Holm (2CH) system on the line, allowing for nonvanishing and distinct asymp…

math.AP2011★ 29 cited

Global conservative solutions of the Camassa-Holm equation for initial data nonvanishing asymptotics

Katrin Grunert, Helge Holden, Xavier Raynaud

We study global conservative solutions of the Cauchy problem for the Camassa-Holm equation $u_{t} - u_{t xx} + κ u_{x} + 3 u u_{x} - 2 u_{x} u_{xx} - u u_{xxx} = 0$ with nonvanishing and distinct spatial asy…

math.AP2011★ 1 cited

Operator splitting for partial differential equations with Burgers nonlinearity

Helge Holden, Christian Lubich, Nils Henrik Risebro

We provide a new analytical approach to operator splitting for equations of the type $u_{t} = A u + u u_{x}$ where $A$ is a linear differential operator such that the equation is well-posed…