UPDATE:

Starting from the 1st of March 2018, I am no longer employed in academia. I will keep this webpage updated with mathematics related research as long as I have access.

Marin Misur

Office:
~~103 (1st floor)~~
~~email address~~

Address:
Prirodnoslovno-matematicki fakultet
Bijenicka cesta 32
10 000 Zagreb
Croatia

Research interests

General areas of my research are partial differential equations and calculus of variations (particularly, parametrised measures and compactness by compensation theory).
I am also interested in parallel computing and applications of parallel computing on GPUs.

Education

I defended my PhD thesis H-distributions and compactness by compensation [.pdf file] on 2nd of June 2017 under supervision of prof. Nenad Antonic.
The defence committee: prof. Marko Vrdoljak (the chairman), prof. Nenad Antonic, prof. Evgenij J. Panov.

I have attened the following PhD classes:

qualifying classes: Real and functional analysis; Partial differential equations;
advanced classes: Convex and nonsmooth analysis; Microlocal defect functionals; Homogenization and applications in optimal design; Convex integration and nonregular solutions of partial differential equations; Contemporary topics in conservation laws and evolution equations; Vector spaces and matrix algorithms; Selected topics of numerical linear algebra;

master degree:	Compactness by Compensation, July 2012, University of Zagreb (advisor: prof. Nenad Antonic)
bachelor degree:	July 2010, University of Zagreb

CV

You can find my short CV here.

Scientific work and publications

M. Misur, D. Mitrovic, On a Generalization of Compensated Compactness in the L^p-L^q setting, Journal of Functional Analysis 268 (2015) 1904-1927 [link]
M. Misur, D. Mitrovic, A. Novak, On the Dirichlet-Neumann boundary problem for scalar conservation laws, Mathematical Modelling and Analysis 21 (2016) 685-698 [link]
M. Misur, D. Mitrovic, On compactness of commutator of multiplication and pseudodifferential operator, Journal of Pseudo-Differential Operators and Applications 10 (2019) 121-131 [link]
N. Antonic, M. Misur, D. Mitrovic, On compactness of commutators of multiplications and Fourier multipliers, Mediterranean Journal of Mathematics (2018) 15:170 [link]
M. Misur, Lj. Palle, An extension of the notion of the order of a distribution, Annali di Matematica Pura ed Applicata 198 (2019) 1887-1908 [link]
M. Misur, A Refinement of Peetre's Theorem, Results in Mathematics (2019) 74:199 [link]
M. Misur, On the mixed boundary value problem for semilinear elliptic equations, Mathematics and Computers in Simulation 179 (2021) 162-177 [link]
N. Antonic, M. Erceg, M. Misur, Distributions of anisotropic order and applications to H-distributions, Analysis and Applications 19 (2021) 801-843 [link]
M. Erceg, M. Misur, D. Mitrovic, Velocity averaging and strong precompactness for degenerate parabolic equations with discontinuous flux, Journal of the London Mathematical Society 107 (2023) [link]
M. Misur, Lj. Palle, On some further properties of anisotropic distributions, Pure and Applied Functional Analysis, accepted for publication, 14pp [link]
M. Misur, Hoermader-Mihlin theorem with fractional derivatives conditions, submitted, 11pp

Collaborators' links: Darko Mitrovic, Nenad Antonic, Marko Erceg, Andrej Novak, Ljudevit Palle

Presentations at conferences

June 2013:	ApplMath13 - 8th Conference on Applied Mathematics and Scientific Computing, Sibenik, Croatia
	where I gave a talk On a generalization of compactness by compensation in the L^p-L^q setting
May 2014:	PDEs, Continuum Mechanics and Numerical Analysis, Dubrovnik, Croatia
	where I gave a talk On H-distributions
July 2014:	Dans146 - Days of Analysis in Novi Sad, Novi Sad, Serbia
	where I had a poster presentation
August 2016:	Hyp2016 - XVI International Conference on Hyperbolic Problems. Theory, Numerics, Applications, Aachen, Germany
	where I gave a talk On the Dirichlet-Neumann boundary problem for scalar conservation laws
September 2016:	GF2016 - International conference on generalised functions, Dubrovnik, Croatia
	where I gave a talk H-distributions, distributions of anisotropic order and Schwartz kernel theorem
September 2016:	VII International Conference Optimization and Applications, Petrovac, Montenegro
	where I gave a talk On a gradient constraint problem for scalar conservation laws
October 2016:	International Conference Applications of Generalized Functions in General Relativity, Stochastics and Mechanics, Novi Sad, Serbia
	where I gave a talk On Lp compactness of commutator of multiplication and Fourier multiplier operator
February 2017:	Generalized Functions, Microlocal Analysis, PDEs and Dynamical Systems - Conference in memory of Todor V. Gramchev, Torino, Italy
	where I gave a talk Extension of Cordes' and Tartar's results on compactness of commutators
June 2017:	ATFA17 - Aspects of Time-Frequency Analysis, Torino, Italy
	where I had a poster presentation
August 2017:	11th ISAAC Congress, Vaexjoe, Sweden
	where I gave a talk Anisotropic distributions and applications

Study visits and internships

University of Paris-Sud (Orsay): 2 study visits (June 2017, November-December 2017; host: prof. Laurent Moonens)
SISSA - Scuola Internazionale Superiore di Studi Avanzati: 1 study visit (May 2017; host: prof. Alessandro Michelangeli)
BCAM - Basque Center for Applied Mathematics: 1 study visit (2013) and 1 internship (2013; host: prof. Enrique Zuazua)
University of Montenegro: 4 study visits (2012, 2013, 2014, 2016; host: prof. Darko Mitrovic)
University of Dubrovnik: 1 study visit (2011; host: prof. Martin Lazar)

Invited seminars

University of Tours: Adaptive micro-local defect functionals with application on degenerate equations, December 14th 2017
University of Paris-Sud (Orsay): Order of distributions and applications, December 12th 2017
University of Paris-Sud (Orsay): Anisotropic distributions and compactness by compensation, June 13th 2017
SISSA - Scuola Internazionale Superiore di Studi Avanzati: Anisotropic distributions, microlocal defect functionals, and applications, May 18th 2017
BCAM - Basque Center for Applied Mathematics: On a generalisation of compactness by compensation in the Lp-Lq setting, October 11th 2013
University of Montenegro: Compensted compactness and parabolic equations, November 5th 2012

Skills and competencies

languages:	croatian (native)
	english (fluent)
	german (basic knowledge)
	french (basic knowledge)
computer skills:	C, CUDA C, MPI, basics of C++,
	familiar with BLAS and Lapack,
	MATLAB, basics of FreeFem++,
	LaTeX, TeX
	Linux System Administration
	machine learning and version control (Git)

Memberships

American Mathematical Society (no longer a member)

Society for Industrial and Applied Mathematics (no longer a member)

International Association for Generalized Functions

Amnesty International

Teaching

I have held excercise sessions at the following graduate and undergarduate classes:

undergraduate:	Introduction to Mathematics (2012/13, 2013/14), Linear Algebra I (at the Department of Physics; 2015/16, 2016/17, 2017/18), Mathematical Analysis II (2013/14), Methods of Mathematical Physics (2012/13, 2014/15, 2015/16, 2016/17)
graduate:	Introduction to Optimisation (2012/13)

External links

Last update: May 2023