8 citations · 12 across the 2 of their papers we have counts for
3 papers
math.PR2017
Wave equation with a coloured stable noise
Larysa Pryhara, Georgiy Shevchenko
We define a random measure generated by a real anisotropic harmonizable fractional stable field with stability parameter and Hurst index and prove t…
math.PR2016★ 8 cited
Stochastic wave equation in a plane driven by spatial stable noise
Larysa Pryhara, Georgiy Shevchenko
The main object of this paper is the planar wave equation \[\bigg(\frac{\partial^2}{\partial t^2}-a^2\varDelta\bigg)U(x,t)=f(x,t),\quad t\ge0, x\in \mathbb {R}^2,\] with random sou…
math.PR2016★ 4 cited
Approximations for a solution to stochastic heat equation with stable noise
Larysa Pryhara, Georgiy Shevchenko
We consider a Cauchy problem for stochastic heat equation driven by a real harmonizable fractional stable process with Hurst parameter and stability index . It is…