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20032023
most citedKolmogorov equations in infinite dimensions: Well-posedness and regularity of solutions, with applications to stochastic generalized Burgers equations

41 citations · 70 across the 13 of their papers we have counts for

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math.AP2023

Stability Analysis of Degenerate Einstein Model of Brownian Motion

Isanka Garli Hevage, Akif Ibraguimov, Zeev Sobol

Our Recent advancements in stochastic processes have illuminated a paradox associated with the Einstein model of Brownian motion. The model predicts an infinite propagation speed,…

math.AP2022

Einstein model of the movement of small particles in a stationary liquid revisited: Finite Propagation Speed

Isanka Garli Hevage, Akif Ibragimov, Zeev Sobol

The aforementioned celebrated model, though a breakthrough in Stochastic processes and a great step toward the construction of the Brownian motion leads to a paradox: infinite prop…

math.AP2022

An Iterative Energy Estimate for Degenerate Einstein model of Brownian motion

Isanka Garli Hevage, Akif Ibraguimov, Zeev Sobol

We consider the degenerate Einsteins Brownian motion model when the time interval of the moving particles before the collisions, is reciprocal to the number of particles per unit v…

math.AP2022

An Iterative Energy Estimate for Degenerate Einstein model of Brownian motion

Isanka Garli Hevage, Akif Ibraguimov, Zeev Sobol

We consider the degenerate Einstein's Brownian motion model for the case when the time interval () of particle Jumps before collision (free jumps) reciprocal to the number of pa…

math.AP2016★ 5 cited

On the -theory of -semigroups associated with second-order elliptic operators with complex singular coefficients

A. F. M. ter Elst, Vitali Liskevich, Zeev Sobol +1

We study -theory of second-order elliptic divergence type operators with complex measurable coefficients. The major aspect is that we allow complex coefficients in the main pa…

math.AP2012

Singular solutions for second-order non-divergence type elliptic inequalities in punctured balls

Marius Ghergu, Vitali Liskevich, Zeev Sobol

We study the existence and nonexistence of positive singular solutions to second-order non-divergence type elliptic inequalities with measurable coefficients. We prove the existenc…