output
20022009
most citedSpin transport in proximity induced ferromagnetic graphene

491 citations

researchers with a paper here
collaborating institutions
Showing math.APShow all

7 papers · 1 filter

math.AP2009

Global semigroup of conservative solutions of the nonlinear variational wave equation

Helge Holden, Xavier Raynaud

We prove the existence of a global semigroup for conservative solutions of the nonlinear variational wave equation . We allow for initial data …

math.AP2009

Operator splitting for the KdV equation

Helge Holden, Kenneth H. Karlsen, Nils Henrik Risebro +1

We provide a new analytical approach to operator splitting for equations of the type where is a linear operator and is quadratic. A particular example is the…

math.AP2008

Global Well-posedness of the 1D Dirac-Klein-Gordon system in Sobolev spaces of negative index

Achenef Tesfahun

We prove that the Cauchy problem for the Dirac-Klein-Gordon system of equations in 1D is globally well-posed in a range of Sobolev spaces of negative index for the Dirac spinor and…

math.AP2008★ 2 cited

Null structure and almost optimal local well-posedness of the Maxwell-Dirac system

Piero D'Ancona, Damiano Foschi, Sigmund Selberg

We uncover the full null structure of the Maxwell-Dirac system in Lorenz gauge. This structure, which cannot be seen in the individual component equations, but only when considerin…

math.AP2006★ 3 cited

Delta shock wave formation in the case of triangular hyperbolic system of conservation laws

V. G. Danilov, D. Mitrovic

We describe shock wave arising from continuous initial data in the case of triangular conservation law system arising from "generalized pressureless gas dynamics model". We use…

math.AP2003★ 1 cited

Stability of solutions of quasilinear parabolic equations

Giuseppe Maria Coclite, Helge Holden

We bound the difference between solutions and of $u_t = aΔu+\Div_x f+h$ and $v_t = bΔv+\Div_x g+k$ with initial data and , respectively, by $\Vert u(t,\cdot)-v(t,\c…