5 citations · 10 across the 20 of their papers we have counts for
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Structure and regularity of the global attractor of a reaction-di§usion equation with non-smooth nonlinear term
Oleksiy V. Kapustyan, Pavlo O. Kasyanov, José Valero
In this paper we study the structure of the global attractor for a reaction- di§usion equation in which uniqueness of the Cauchy problem is not guarantied. We prove that the global…
Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations
Pavlo O. Kasyanov, Luisa Toscano, Nina V. Zadoianchuk
In this note we give a criterion for the existence of global strong solutions for the 3D Navier-Stokes system for any regular initial data.
Existence of Strong Solutions for the 3D Navier-Stokes System
Michael Z. Zgurovsky, Pavlo O. Kasyanov
Regularity properties of strong solutions are considered.
Fatou's Lemma for Weakly Converging Probabilities
Eugene A. Feinberg, Pavlo O. Kasyanov, Nina V. Zadoianchuk
Fatou's lemma states under appropriate conditions that the integral of the lower limit of a sequence of functions is not greater than the lower limit of the integrals. This note de…
Berge's Theorem for Noncompact Image Sets
Eugene A. Feinberg, Pavlo O. Kasyanov, Nina V. Zadoianchuk
For an upper semi-continuous set-valued mapping from one topological space to another and for a lower semi-continuous function defined on the product of these spaces, Berge's theor…
Average-Cost Markov Decision Processes with Weakly Continuous Transition Probabilities
Eugene A. Feinberg, Pavlo O. Kasyanov, Nina V. Zadoianchuk
This paper presents sufficient conditions for the existence of stationary optimal policies for average-cost Markov Decision Processes with Borel state and action sets and with weak…