Norskregistrert utenlandsk foretak (NUF) som alternativ til AS

En analyse av sentrale rettslige og faktiske problemstillinger knyttet til NUF som alternativ til norsk aksjeselskap i kjølvannet av endringer i aksjeloven mv. Valg av foretaksform med henblikk på regler om selskapets stiftelse og registrering, kapitalkrav, revisjonsplikt, utbytte og skatt, samt adgang til skattefri omdanning fra NUF til AS

A class of N nonlinear hyperbolic conservation laws

AbstractThe Riemann problem for a class of nonlinear systems of first order hyperbolic conservation laws is studied. The class consists of systems where the derivative of the flux function is a lower triangular matrix. There are no assumptions on genuine nonlinearity and strict hyperbolicity. Existence and uniqueness are proved except in a set with measure zero in the phase space and a set with measure zero in the flux function space where there is a one-parameter family of solutions. Travelling waves are used as an entropy condition and examples show that the Lax or Liu entropy conditions are not sufficient. An example shows that the solution does not necessarily depend continuously on the data. The model may be used to describe three-phase and tracer flow and flow in a neighborhood of a heterogeneity in porous media

Hypercontractive semigroups and two dimensional self-coupled Bose fields

AbstractWe present an abstract perturbation theory for operators of the form H0 + V obeying four properties: (1) H0 is a positive self-adjoint operator on L2(M, μ) with μ a probability measure so that e−tH0 is a contraction on L1 for each t > 0; (2) e−TH0 is a bounded map of L2 to L4 for some T; (3) V ϵ Lp(M, μ) for some p > 2; (4) e−tV ϵ L1 for all t > 0. We then show that spatially cutoff Bose fields in two-dimensional space-time fit into this framework. Finally, we discuss some details of two-dimensional Bose fields in the abstract including coupling constant analyticity in the spatially cutoff case

Etter enigheten. En kritisk diskursanalyse av ‘klimakrisen’ i fire norske medier i 2020

Masteroppgave i medier og kommunikasjonMEVI350MASV-MEV

Irreducibility and reducibility for the energy representation of the group of mappings of a Riemannian manifold into a compact semisimple Lie group

AbstractThe irreducibility of the energy representation of the group of smooth mappings from a Riemannian manifold of dimension d ⩾ 3 into a compact semisimple Lie group is proven. The nonequivalence of the representations associated with different Riemann structures is also proven for d ⩾ 3. The case d = 2 is examined and irreducibility and nonequivalence results are also given. The reducibility in the case d = 1 is pointed out (in this case the commutant contains a representation equivalent with the energy representation)

Factoriality of representations of the group of paths on SU(n)

AbstractFactoriality in the cyclic component of the vacuum for the energy representation of SU(n)-valued paths groups is proved. The main tool is a lemma concerning generic pairs of Cartan subalgebras in the Lie algebra su(n) of SU(n) groups

Quantum electrodynamics of relativistic bound states with cutoffs

We consider an Hamiltonian with ultraviolet and infrared cutoffs, describing the interaction of relativistic electrons and positrons in the Coulomb potential with photons in Coulomb gauge. The interaction includes both interaction of the current density with transversal photons and the Coulomb interaction of charge density with itself. We prove that the Hamiltonian is self-adjoint and has a ground state for sufficiently small coupling constants.Comment: To appear in "Journal of Hyperbolic Differential Equation