22 citations · 36 across the 8 of their papers we have counts for
6 papers · 1 filter
Greedy search of optimal approximate solutions
Martin Lazar, Enrique Zuazua
In this paper we develop a procedure to deal with a family of parameter-dependent ill-posed problems, for which the exact solution in general does not exist. The original problems…
Localisation principle for one-scale H-measures
Nenad Antonić, Marko Erceg, Martin Lazar
Microlocal defect functionals (H-measures, H-distributions, semiclassical measures, etc.) are objects which determine, in some sense, the lack of strong compactness for weakly conv…
Exploring limit behaviour of non-quadratic terms via H-measures. Application to small amplitude homogenisation
Martin Lazar
A method is developed for analysing asymptotic behaviour of terms involving an arbitrary integer order powers of L p functions by means of H-measures. It is applied to the small am…
Stability of Observations of Partial Differential Equations under Uncertain Perturbations
Martin Lazar
We analyse stability of observability estimates for solutions to wave and Scr\" odinger equations subjected to additive perturbations. The paper generalises the recent averaged obs…
On the velocity averaging for equations with optimal heterogeneous rough coefficients
Martin Lazar, Darko Mitrovic
Assume that is a sequence of solutions to heterogeneous equations with rough coefficients and fractional derivatives, weakly converging to zero in , wi…
Velocity averaging -- a general framework
Martin Lazar, Darko Mitrovic
We prove that the sequence of averaged quantities $\int_{\R^m}u_n(\mx,\msnop)$ $ρ(\msnop)d\msnop$, is strongly precompact in $\Ldl\Rd$, where $ρ\in \Ldc{\R^m}$, and $u_n\in \Ld{\R^…