14 citations · 53 across the 9 of their papers we have counts for
9 papers
The Burgers equation driven by a stochastic measure
Vadym Radchenko
We study the class of one-dimensional equations driven by a stochastic measure . For we assume only -additivity in probability. This class of equations include the Burger…
Transport equation driven by a stochastic measure
Vadym Radchenko
We consider the stochastic transport equation where the randomness is given by the symmetric integral with respect to stochastic measure. For stochastic measure, we assume only …
Averaging principle for equation driven by a stochastic measure
Vadym Radchenko
Equation with the symmetric integral with respect to stochastic measure is considered. For the integrator, we assume only -additivity in probability and continuity of the paths.…
Averaging principle for the heat equation driven by a general stochastic measure
Vadym Radchenko
We study the one-dimensional stochastic heat equation in the mild form driven by a general stochastic measure , for we assume only -additivity in probability. The time av…
Stratonovich-type integral with respect to a general stochastic measure
Vadym Radchenko
Let be a general stochastic measure, where we assume for only -additivity in probability and continuity of paths. We prove that the symmetric integral $\int_{[0,T]}f(μ_t…
Heat equation with general stochastic measure colored in time
Vadym Radchenko
A stochastic heat equation on driven by a general stochastic measure is investigated in this paper. For the integrator , we assume the -addi…