38 citations · 71 across the 9 of their papers we have counts for
4 papers · 1 filter
Accelerated nonlocal nonsymmetric dispersion for monostable equations on the real line
Dmitri Finkelshtein, Pasha Tkachov
We consider the accelerated propagation of solutions to equations with a nonlocal linear dispersion on the real line and monostable nonlinearities (both local or nonlocal, however,…
Kesten's bound for sub-exponential densities on the real line and its multi-dimensional analogues
Dmitri Finkelshtein, Pasha Tkachov
We study the tail asymptotic of sub-exponential probability densities on the real line. Namely, we show that the n-fold convolution of a sub-exponential probability density on the…
Global stability in a nonlocal reaction-diffusion equation
Dmitri Finkelshtein, Yuri Kondratiev, Stanislav Molchanov +1
We study stability of stationary solutions for a class of non-local semilinear parabolic equations. To this end, we prove the Feynman--Kac formula for a Lévy processes with time-de…
The hair-trigger effect for a class of nonlocal nonlinear equations
Dmitri Finkelshtein, Pasha Tkachov
We prove the hair-trigger effect for a class of nonlocal nonlinear evolution equations on which have only two constant stationary solutions, and . The effec…