A5028222856- 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...
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.
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.
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.