Research
My scientific work is based on studing partial differential equations using
theory and techniques of real and functional analysis such as Fourier analysis,
microlocal defect functionals (H-measures, semiclassical measures...) and strongly
continuous semigroups.
I am an active
member of Seminar
for differential equations and numerical analysis at the Department of Mathematics, University
of Zagreb.
Currantly, I am an associate professor at Department of Mathematics, Faculty of Science, University of Zagreb.
Submitted
Published (or accepted for publishing)
) |
Nenad Antonić, Marko Erceg:
One-scale H-distributions and variants,
Results in Mathematics,
78, Arcitcle number: 165 (2023) 53 pp.
|
[preprint] |
) |
Marko Erceg, Marin Mišur,
Darko Mitrović:
Velocity averaging for diffusive transport equations with discontinuous flux,
Journal of the London Mathematical Society,
107 (2023) 658-703.
|
[preprint] |
) |
Marko Erceg, Sandeep Kumar Soni:
Classification of classical Friedrichs differential operators: One-dimensional scalar case,
Communications on Pure and Applied Analysis,
21 (2022) 3499-3527.
|
[preprint] |
) |
Marko Erceg, Darko Mitrović:
Strong traces to degenerate parabolic equations,
SIAM Journal on Mathematical Analysis,
54 (2022) 1775-1796.
|
) |
Nenad Antonić, Marko Erceg, Marin Mišur:
Distributions of anisotropic order and applications to H-distributions,
Analysis and Applications,
19 (2021) 801-843. |
[preprint] |
) |
Marko Erceg, Alessandro Michelangeli:
On contact interactions realised as Friedrichs systems,
Complex Analysis and Operator Theory,
13 (2019) 703-736. |
[preprint] |
) |
Marko Erceg, Martin Lazar:
Characteristic
scales of bounded L2 sequences, Asymptotic Analysis,
109(3-4) (2018) 171-192. |
[preprint] |
) |
Marko Erceg, Ivan Ivec:
Second
commutation lemma for fractional H-measures,
Journal of Pseudo-Differential Operators and Applications,
9(3) (2018) 589-613. |
[preprint] |
) |
Nenad Antonić,
Krešimir Burazin,
Ivana Crnjac, Marko Erceg:
Complex Friedrichs systems and applications,
Journal of Mathematical Physics,
58 (2017) 101508, 22 pp. |
[preprint] |
) |
Nenad Antonić, Marko Erceg,
Alessandro Michelangeli:
Friedrichs
systems in a Hilbert space framework: solvability and multiplicity,
Journal of Differential Equations,
263 (2017) 8264-8294. |
[preprint] |
) |
Marko Erceg, Ivan Ivec:
On generalisation of
H-measures, Filomat,
31(16) (2017) 5027-5044. |
[preprint] |
) |
Nenad Antonić, Marko Erceg,
Martin Lazar:
Localisation principle for one-scale H-measures,
Journal of Functional Analysis,
272 (2017) 3410-3454. |
[preprint] |
) |
Krešimir Burazin, Marko Erceg:
Non-stationary abstract Friedrichs systems,
Mediterranean Journal of Mathematics,
13 (2016) 3777-3796. |
[preprint]
|
) |
Krešimir Burazin, Marko Erceg:
Estimates for mild
solutions to semilinear Cauchy problems,
Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 194, pp. 1-10. |
[preprint] |
Thesis