1 citations · 1 across the 2 of their papers we have counts for
8 papers
Comparison of integral equations for the Maxwell transmission problem with general permittivities
Johan Helsing, Anders Karlsson, Andreas Rosén
Two recently derived integral equations for the Maxwell transmission problem are compared through numerical tests on simply connected axially symmetric domains for non-magnetic mat…
Dirac integral equations for dielectric and plasmonic scattering
Johan Helsing, Andreas Rosén
A new integral equation formulation is presented for the Maxwell transmission problem in Lipschitz domains. It builds on the Cauchy integral for the Dirac equation, is free from fa…
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary conditions
Lashi Bandara, Andreas Rosén
On a smooth complete Riemannian spin manifold with smooth compact boundary, we demonstrate that the Atiyah-Singer Dirac operator in depen…
A local Tb theorem for matrix weighted paraproducts
Andreas Rosén
We prove a local theorem for paraproducts acting on vector valued functions, with matrix weighted averaging operators. The condition on the weight is that its square is in the…
Bounded variation approximation of L_p dyadic martingales and solutions to elliptic equations
Tuomas Hytönen, Andreas Rosén
We prove continuity and surjectivity of the trace map onto , from a space of functions of locally bounded variation, defined by the Carleson functional. The extension map is c…
Boundary value problems for degenerate elliptic equations and systems
Pascal Auscher, Andreas Rosén, David Rule
We study boundary value problems for degenerate elliptic equations and systems with square integrable boundary data. We can allow for degeneracies in the form of an weight.…