6 papers
Homogenization of Lévy-type operators: operator estimates with correctors
Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
The goal of the paper is to study in a self-adjoint operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps)…
Persistence in perturbed contact models in continuum
S. Pirogov, E Zhizhina
Can a local disaster lead to extinction? We answer this question in this work. In the paper \cite{PZ-PPI} we considered contact processes on locally compact metric spaces with stat…
Homogenization of non-symmetric convolution type operators
Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
The paper studies homogenization problem for a bounded in convolution type operator ${\mathbb A}_\eps$, $\eps >0$, of the form $$ ({\mathbb A}_\eps u) (\x) = \ep…
Homogenization of parabolic problems for non-local convolution type operators under non-diffusive scaling of coefficients
Andrey Piatnitski, Elena Zhizhina
We study homogenization problem for non-autonomous parabolic equations of the form with an integral convolution type operator that has a non-symmetric j…
Periodic homogenization of convolution type operators with heavy tails
Andrey Piatnitski, Elena Zhizhina
The paper deals with periodic homogenization of nonlocal symmetric convolution type operators in , whose kernel is the product of a density that belongs to the do…
Operator estimates in homogenization of Lévy-type operators with periodic coefficients
Andrey Piatnitski, Vladimir Sloushch, Tatiana Suslina +1
The paper deals with homogenization of self-adjoint operators in of the form $$ ({\mathbb A}_\eps u) (\x) = \int_{\R^d} μ(\x/\eps, \y/\eps) \frac{\left( u(\x) -…