24 citations · 122 across the 27 of their papers we have counts for
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Pattern formation in parabolic equations containing hysteresis with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
We consider a reaction-diffusion system with discontinuous reaction terms modeled by non-ideal relays. The system is motivated by an epigenetic population model of evolution of two…
Well-posedness of parabolic equations containing hysteresis with diffusive thresholds
Pavel Gurevich, Dmitrii Rachinskii
We study complex systems arising, in particular, in population dynamics, developmental biology, and bacterial metabolic processes, in which each individual element obeys a relative…
Stability for semilinear parabolic problems in , , and interpolation spaces
Pavel Gurevich, Martin Väth
An asymptotic stability result for parabolic semilinear problems in and interpolation spaces is shown. Some known results about stability in are improved for…
Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions
Pavel Gurevich
Smoothness of generalized solutions for higher-order elliptic equations with nonlocal boundary conditions is studied in plane domains. Necessary and sufficient conditions upon the…
On nonexistence of Feller semigroups in the nontransversal case
Pavel Gurevich
We give three examples of second-order elliptic operators with nonlocal boundary conditions of the Ventsel type that admit a closure in the space of continuous functions, but do no…
Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary
Pavel Gurevich
We study the existence of Feller semigroups arising in the theory of multidimensional diffusion processes. We study bounded perturbations of elliptic operators with boundary condit…