Weak convergence methods and applications

Publications

Papers in scientific journals

1. 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 [link]
2. Boris Andreianov, Darko Mitrović: Entropy conditions for scalar conservation laws with discontinuous flux revisited, Annales Institut Henri Poincare C - Analyse Non Lineaire Vol. 32(6) (2015) 1307-1335 [link]
3. Henrik Kalisch, Darko Mitrović, Jan Martin Nordbotten: Rayleigh-Taylor instability of immiscible fluids in porous media, Continuum Mechanics and Thermodynamics 28 (2016) 721-731 [link]
4. Marin Mišur, Darko Mitrović: On a generalization of compensated compactness in the Lp-Lq setting, Journal of Functional Analysis 268 (2015) 1904-1927 [link]
5. Henrik Kalisch, Darko Mitrović, Jan Martin Nordbotten: Non-standard Shocks in the Buckley-Leverett Equation, Journal of Mathematical Analysis and Applications 428 (2015) 882-895 [link]
6. Darko Mitrović, Andrej Novak: Two phase nonturbulent flow with applications, Mathematical Problems in Engineering, Volume 2015 (2015), Article ID 439704, 8 pages [link]
7. Nenad Antonić, Ivan Ivec: On the Hörmander-Mihlin theorem for mixed-norm Lebesgue spaces, Journal of Mathematical Analysis and Applications, 433 (2016) 176-199 [link]
8. Maroje Marohnić, Darko Mitrović, Andrej Novak: On a front evolution in porous media with a source - Analysis and numerics, Bulletin of the Brazilian Mathematical Society, New Series 47 (2016) 521-532 [link]
9. Marko Erceg, Ivan Ivec: On generalisation of H-measures, Filomat 31 (2017), No. 16, 5027-5044 [link]
10. Krešimir Burazin, Marko Erceg: Non-stationary abstract Friedrichs systems, Mediterranean Journal of Mathematics 13 (2016) 3777-3796 [link]
11. Marin Mišur, Darko Mitrović, Andrej Novak: On the Dirichlet-Neumann boundary problem for scalar conservation laws, Mathematical Modelling and Analysis 21 (2016) 685-698 [link]
12. Marko Vrdoljak: Classical optimal design in two-phase conductivity problems, SIAM Journal on Control and Optimization 54 2020-2035 [link]
13. Martin Lazar, Enrique Zuazua: Greedy controllability of finite dimensional linear systems, Automatica 74 (2016) 327-340 [link]
14. Martin Lazar: Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation, Applicable Analysis 96 (2017) 2832-2845 [link] [research gate link]
15. Martin Lazar, Darko Mitrović: On a new class of functional spaces with application to the velocity averaging, Glas. Mat. Ser. III 52 (2017) 115-130 [link] [research gate link]
16. Martin Lazar: Stability of observations of partial differential equations under uncertain perturbations, ESAIM: Control, Optimisation and Calculus of Variations (COCV) 24 (2018) 45-61 [link] [research gate link]
17. Martin Lazar, Darko Mitrović: Existence of solutions for a scalar conservation law with a flux of low regularity, Electronic Journal of Differential Equations Vol. 2016 (2016), No. 325, pp. 1-18 [link] [research gate link]
18. Darko Mitrović, Andrej Novak: Transport-collapse scheme for scalar conservation laws - initial-boundary value problem, Communications in Mathematical Sciences 15 (2017) 1055-1071 [link]
19. Nenad Antonić, Marko Erceg, Martin Lazar: Localisation principle for one-scale H-measures, Journal of Functional Analysis 272 (2017) 3410-3454 [link] [research gate link]
20. Martin Lazar, Cesare Molinari, Juan Peypouquet: Optimal control of parabolic equations by spectral decomposition, Optimization Vol. 66 (2017), No. 8, pp. 1359-1381 [link] [research gate link]
21. Henrik Kalisch, Darko Mitrović, Vincent Teyekpiti: Delta Shock Waves in Shallow Water Flow, Physics Letters A 381 (2017) 1138-1144 [link]
22. Marko Erceg, Ivan Ivec: Second commutation lemma for fractional H-measures, accepted for publication in Journal of Pseudo-Differential Operators and Applications, 25 pages [link] [research gate link]
23. Melanie Graf, Michael Kunzinger, Darko Mitrović: Well-posedness theory for degenerate parabolic equations on Riemannian manifolds, Journal of Differential Equations, 263 (2017) 4787-4825 [link]
24. Nenad Antonić, Marko Erceg, Alessandro Michelangeli: Friedrichs systems in a Hilbert space framework: solvability and multiplicity, Journal of Differential Equations, 263 (2017) 8264-8294 [link] [research gate link]
25. Nenad Antonić, Krešimir Burazin, Ivana Crnjac, Marko Erceg: Complex Friedrichs systems and applications, Journal of Mathematical Physics, 58 (2017) 101508, 22 pages [link] [research gate link]
26. Darko Mitrović, Andrej Novak: Transport-collapse scheme for heterogeneous scalar conservation laws, Journal of Hyperbolic Differential Equations, 15 (2018) 119-132 [link]
27. Marin Mišur, Darko Mitrović: On compactness of commutator of multiplication and pseudodifferential operator, accepted for publication in Journal of Pseudo-Differential Operators and Applications, 11 pages [link]
28. Krešimir Burazin, Jelena Jankov, Marko Vrdoljak: Homogenization of elastic plate equation, Mathematical Modelling and Analysis, 23 (2018) 190-204 [link]
29. Nedžad Limić, Vlada Limić: Equidistribution, Uniform distribution: a probabilist's perspective, Probability Surveys, 15 (2018) 131-155 [link]
30. Marko Vrdoljak: Multiple state optimal design problems with random perturbation, Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 59, pp. 1-10. [link]
31. Marko Erceg, Martin Lazar: Characteristic scales of bounded L2 sequences, Asymptotic Analysis, 109 (2018) 171-192 [research gate link]
32. Marko Erceg, Alessandro Michelangeli: On contact interactions realised as Friedrichs systems, Complex Analysis and Operator Theory, (2018) 34 pages [link] [SISSA preprints link]
33. Krešimir Burazin: On unique solutions of multiple-state optimal design problems on an annulus, Journal of Optimization Theory and Applications 177 (2018) 329-344 [link]
34. Krešimir Burazin, Ivana Crnjac, Marko Vrdoljak: Variant of optimality criteria method for multiple state optimal design problems, accepted for publication in Communications in Mathematical Sciences, 18 pages
35. Jelena Aleksić, Stevan Pilipović, Ivana Vojnović: Defect distributions related to weakly convergent sequences in Bessel type spaces H^{-s,p}_\Lambda, Mediterranean Journal of Mathematics (2018) 15:142, 17 pages [link]
36. Nenad Antonić, Marin Mišur, Darko Mitrović: On compactness of commutators of multiplications and Fourier multipliers, Mediterranean Journal of Mathematics (2018) 15:170, 13 pages [link]
37. Krešimir Burazin, Marko Vrdoljak: Exact solutions in optimal design problems for stationary diffusion equation, Acta Applicandae Mathematicae (2018) 1-18 [link]
38. Darko Mitrović, Andrej Novak, Tarik Uzunović: Averaged Control for Fractional ODEs and Fractional Diffusion Equations, Journal of Function Spaces, 2018 (2018) Article ID 8095728, 8 pages [link]
39. Marin Mišur, Ljudevit Palle: An extension of the notion of the order of a distribution, Annali di Matematica Pura ed Applicata (2019) online first, 22 pages [link]

List of papers in CROSBI database (Croatian scientific bibliography).

Preprints

1. Tarzan Legović, Nedžad Limić: Concepts related to resident times in pollutant transport models, 45 pages
2. Nenad Antonić, Marko Erceg, Marin Mišur: On H-distributions, June 2016, 24 pages
3. Henrik Kalisch, Darko Mitrović: On Existence and Uniqueness of delta-type Solutions of Cauchy problems for Systems of Conservation Laws with BV-initial Data, July 2016, 29 pages
4. Marin Mišur: On the mixed boundary value problem for semilinear elliptic equations, January 2017, 17 pages
5. Krešimir Burazin, Jelena Jankov: Small-amplitude homogenization of elastic plate equation, July 2017, 11 pages
6. Marin Mišur: A refinement of the Peetre theorem, May 2018, 8 pages

Doctoral dissertations

1. Marko Erceg: Jednoskalne H-mjere i inačice, defended June 2016 [pdf file]
2. Marin Mišur: H-distributions and compactness by compensation, defended June 2017 [pdf file]