MARKO ERCEG
Assistant professor at the Departmant of Mathematics, Faculty of Science, University of Zagreb.
Research interest
PDEs and functional analysis: microlocal analysis (semiclassical measures, H-measures and variants), Friedrichs systems, operator theory.
Teaching
Professor for: Applied mathematical analysis, Methods in mathematical physics, Variational calculus and Convex analysis.
Teaching asisstant for: PDEs.
Friedrichs systems in a Hilbert space framework: solvability and multiplicity
We present a purely operator-theoretic description of abstract Friedrichs systems via the universal operator extension theory of dual pairs (Grubb, 1968). For a given Friedrichs system the existence of a boundary condition such that the problem is well-posed is shown, as well as a classification of all such boundary conditions. [Read more]
Second commutation lemma for fractional H-measures
In this paper we explore the transport property of fractional H-measures by studying fractional derivatives of commutators of multiplication and Fourier multiplier operators. In particular, we prove the generalised Second commutation lemma suitable for fractional H-measures. [Read more]
