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Andreas Rosén
Professor
Analysis and Probability TheoryAbout Andreas Rosén
My research mostly concerns Partial Differential Equations, and uses techniques from harmonic analysis and operator theory. A central problem is the well posedness of boundary value problems for PDEs with non-smooth coefficients or domains. With functional calculus and harmonic analysis we construct new operators beyond singular integrals, with which non-smooth PDEs can be solved constructively.
My focus is on systems of first order PDEs, motivated by Dirac operators from mathematical physics. In algebra and geometry I work much with differential forms, exterior algebra, Clifford algebra and spinors.
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Causal sparse domination of Beurling maximal regularity
operators
T. Hytonen, Andreas Rosén
Journal D Analyse Mathematique - 2023 -
An efficient full-wave solver for eddy
currents
J. Helsing, A. Karlsson, Andreas Rosén
Computers & Mathematics with Applications - 2022 -
Comparison of integral equations for the Maxwell transmission problem with general
permittivities
J. Helsing, A. Karlsson, Andreas Rosén
Advances in Computational Mathematics - 2021 -
Boosting the Maxwell double layer potential using a right spin
factor
Andreas Rosén
Integral Equations and Operator Theory - 2019 -
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of local boundary
conditions
L. Bandara, Andreas Rosén
Communications in Partial Differential Equations - 2019 -
Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the
metric
L. Bandara, A. McIntosh, Andreas Rosén
Mathematische Annalen - 2018 -
Evolution of Time-Harmonic Electromagnetic and Acoustic Waves Along
Waveguides
Medet Nursultanov, Andreas Rosén
Integral Equations and Operator Theory - 2018 -
Bounded variation approximation of Lp Dyadic martingales and solutions to elliptic
equations
Tuomas Hytönen, Andreas Rosén
Journal of the European Mathematical Society - 2018 -
A spin integral equation for electromagnetic and acoustic
scattering
Andreas Rosén
Applicable Analysis - 2017 -
A local Tb theorem for matrix weighted
paraproducts
Andreas Rosén
Revista Matematica Iberoamericana - 2016 -
Teaching and Learning Electromagnetics: An Analytical Problem-Solving
Approach
Rob Maaskant, Andreas Rosén
Ieee Antennas and Propagation Magazine - 2016 -
BOUNDARY VALUE PROBLEMS FOR DEGENERATE ELLIPTIC EQUATIONS AND
SYSTEMS
P. Auscher, Andreas Rosén, D. Rule
Annales Scientifiques de l'Ecole Normale Supérieure - 2015 -
Cauchy non-integral
formulas
Andreas Rosén
Contemporary Mathematics - 2014 -
Cauchy integrals for the p-Laplace equation in planar Lipschitz
domains
K. Nystrom, Andreas Rosén
Annales Academiae Scientiarum Fennicae-Mathematica - 2014 -
Layer potentials beyond singular integral
operators
Andreas Rosén
Publicacions matemàtiques - 2013 -
On the Carleson
duality
Tuomas Hytönen, Andreas Rosén
Arkiv för matematik - 2013 -
Square function and maximal function estimates for operators beyond divergence form
equations
Andreas Rosén
Journal of Evolution Equations - 2013