14 citations · 30 across the 4 of their papers we have counts for
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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…
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…
Besov regularity of stochastic measures
Vadym Radchenko
We prove that continuous paths of σ-additive in probability set function belong to Besov space.
Heat equation with a general stochastic measure on nested fractals
Vadym Radchenko, Martina Zähle
A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are prov…