Andreas Rosén

Full Professor at Analysis and Probability Theory

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.

Source: chalmers.se
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Showing 19 publications

2023

Causal sparse domination of Beurling maximal regularity operators

Tuomas Hytönen, Andreas Rosén
Journal dAnalyse Mathematique. Vol. 150 (2), p. 645-672
Journal article
2022

An efficient full-wave solver for eddy currents

Johan Helsing, Anders Karlsson, Andreas Rosén
Computers and Mathematics with Applications. Vol. 128, p. 145-162
Journal article
2021

Dirac Integral Equations for Dielectric and Plasmonic Scattering

Johan Helsing, Andreas Rosén
Integral Equations and Operator Theory. Vol. 93 (5)
Journal article
2021

Comparison of integral equations for the Maxwell transmission problem with general permittivities

Johan Helsing, Anders Karlsson, Andreas Rosén
Advances in Computational Mathematics. Vol. 47 (5)
Journal article
2019

Boosting the Maxwell double layer potential using a right spin factor

Andreas Rosén
Integral Equations and Operator Theory. Vol. 91 (3)
Journal article
2019

Geometric multivector analysis

Andreas Rosén
Book
2019

Riesz continuity of the Atiyah–Singer Dirac operator under perturbations of local boundary conditions

Lashi Bandara, Andreas Rosén
Communications in Partial Differential Equations. Vol. 44 (12), p. 1253-1284
Journal article
2018

Evolution of Time-Harmonic Electromagnetic and Acoustic Waves Along Waveguides

Medet Nursultanov, Andreas Rosén
Integral Equations and Operator Theory. Vol. 90 (5)
Journal article
2018

Riesz continuity of the Atiyah-Singer Dirac operator under perturbations of the metric

Lashi Bandara, Alan McIntosh, Andreas Rosén
Mathematische Annalen. Vol. 370 (1-2), p. 863-915
Journal article
2018

Bounded variation approximation of Lp Dyadic martingales and solutions to elliptic equations

Tuomas Hytönen, Andreas Rosén
Journal of the European Mathematical Society. Vol. 20 (8), p. 1819-1850
Journal article
2017

A spin integral equation for electromagnetic and acoustic scattering

Andreas Rosén
Applicable Analysis. Vol. 96 (13), p. 2250-2266
Journal article
2016

Teaching and Learning Electromagnetics: An Analytical Problem-Solving Approach

Rob Maaskant, Andreas Rosén
IEEE Antennas and Propagation Magazine. Vol. 58 (2), p. 75-83
Other text in scientific journal
2016

A local Tb theorem for matrix weighted paraproducts

Andreas Rosén
Revista Matematica Iberoamericana. Vol. 32 (4), p. 1259-1276
Journal article
2015

BOUNDARY VALUE PROBLEMS FOR DEGENERATE ELLIPTIC EQUATIONS AND SYSTEMS

P. Auscher, Andreas Rosén, D. Rule
Annales Scientifiques de lEcole Normale Superieure. Vol. 48 (4), p. 951-1000
Journal article
2014

Cauchy integrals for the p-Laplace equation in planar Lipschitz domains

K. Nystrom, Andreas Rosén
Annales Academiae Scientiarum Fennicae Mathematica. Vol. 39 (2), p. 545-565
Journal article
2014

Cauchy non-integral formulas

Andreas Rosén
Contemporary Mathematics. Vol. 612, p. 163-178
Journal article
2013

Layer potentials beyond singular integral operators

Andreas Rosén
Publicacions Matematiques. Vol. 57 (2), p. 429-454
Journal article
2013

Square function and maximal function estimates for operators beyond divergence form equations

Andreas Rosén
Journal of Evolution Equations. Vol. 13 (3), p. 651-674
Journal article
2013

On the Carleson duality

Tuomas Hytönen, Andreas Rosén
Arkiv for Matematik. Vol. 51 (2), p. 293-313
Journal article

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