$$L^{p}$$Lp-theory of elliptic differential operators with unbounded coefficients
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DOI: 10.1007/s00233-017-9855-8
Abstract: In this paper, we consider the generation of strongly continuous analytic semigroups on $$L^p((0,\omega ),\mu _{p}\, dx)$$Lp((0,ω),μpdx) and $$L^p((0,\omega ), dx), 1 read more here.
Keywords: theory elliptic; unbounded coefficients; differential operators; elliptic differential ... See more keywords
Elliptic differential operators and positive semigroups associated with generalized Kantorovich operators
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.034
Abstract: Abstract Deepening the study of a new approximation sequence of positive linear operators we introduced and studied in [12] , in this paper we disclose its relationship with the Markov semigroup (pre)generation problem for a… read more here.
Keywords: operators positive; semigroups associated; positive semigroups; elliptic differential ... See more keywords
Elliptic Differential-Difference Equations in the Half-Space
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DOI: 10.1134/s0001434620110115
Abstract: The Dirichlet problem in the half-space for elliptic differential-difference equations with operators that are compositions of differential and difference operators is considered. For this problem, classical solvability or solvability almost everywhere (depending on the constraints… read more here.
Keywords: difference equations; difference; differential difference; half space ... See more keywords
Elliptic differential dilation–contraction problems on manifolds with boundary
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DOI: 10.1134/s001226611705010x
Abstract: We give a statement of dilation–contraction boundary value problems on manifolds with boundary in the scale of Sobolev spaces. For such problems, we introduce the notion of symbol and prove the corresponding finiteness theorem. read more here.
Keywords: elliptic differential; problems manifolds; dilation contraction; manifolds boundary ... See more keywords