Articles with "singular coefficients" as a keyword



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Nonlocal Problem for an Elliptic Equation with Singular Coefficients in a Semi-infinite Parallelepiped

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Published in 2020 at "Lobachevskii Journal of Mathematics"

DOI: 10.1134/s1995080220010084

Abstract: Abstract We consider a three-dimensional elliptic equation with two singular coefficients, for which a nonlocal problem is studied in a semi-infinite parallelepiped. The study of the problem is carried out using the method of separation… read more here.

Keywords: singular coefficients; nonlocal problem; infinite parallelepiped; elliptic equation ... See more keywords
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Stochastic functional Hamiltonian system with singular coefficients

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Published in 2020 at "Communications on Pure and Applied Analysis"

DOI: 10.3934/cpaa.2020060

Abstract: By Zvonkin type transforms, the existence and uniqueness of the strong solutions for a class of stochastic functional Hamiltonian systems are obtained, where the drift contains a Holder-Dini continuous perturbation. Moreover, under some reasonable conditions,… read more here.

Keywords: singular coefficients; stochastic functional; hamiltonian system; functional hamiltonian ... See more keywords