Grzegorz Żurek

ORCID: 0000-0003-1383-5616
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About
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Research Areas
  • Stochastic processes and financial applications
  • Stochastic processes and statistical mechanics
  • Probability and Risk Models
  • Vitamin D Research Studies
  • Advanced Mathematical Modeling in Engineering
  • Nanoparticle-Based Drug Delivery
  • Pharmaceutical studies and practices
  • Nonlinear Partial Differential Equations

AGH University of Krakow
2018-2023

Wrocław University of Science and Technology
2018-2023

The changing environment and modified lifestyles have meant that many vitamins minerals are deficient in a significant portion of the human population. Therefore, supplementation is viable nutritional approach, which helps to maintain health well-being. efficiency highly hydrophobic compound such as cholecalciferol (logP > 7) depends predominantly on formulation. To overcome difficulties associated with evaluation pharmacokinetics cholecalciferol, method based short time absorption data...

10.3390/pharmaceutics15030783 article EN cc-by Pharmaceutics 2023-02-27

We prove that the Green function of generator symmetric unimodal Lévy process with weak lower scaling order bigger than one and functions its gradient perturbations are comparable for bounded $$C^{1,1}$$ subsets real line if drift is from an appropriate Kato class.

10.1007/s40840-019-00738-4 article EN cc-by Bulletin of the Malaysian Mathematical Sciences Society 2019-02-18

GREEN FUNCTION FOR GRADIENT PERTURBATION OF UNIMODAL LÉVY PROCESSESWe prove that the Green function of a generator isotropic unimodal Lévy processes with weak lower scaling order greater thanone and its gradient perturbations are comparable for bounded smooth open sets if drift is from an appropriate Kato class.

10.19195/0208-4147.37.1.5 article EN Probability and Mathematical Statistics 2018-05-16

We prove that the Green function of a generator symmetric unimodal L\'evy processes with weak lower scaling order bigger than one and its gradient perturbations are comparable for bounded $C^{1,1}$ subsets real line if drift is from an appropriate Kato class.

10.48550/arxiv.1802.01450 preprint EN other-oa arXiv (Cornell University) 2018-01-01
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