Feller semigroups and degenerate elliptic operators III
Sign Up to like & getrecommendations! Published in 2020 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201800421
Abstract: This paper is devoted to the functional analytic approach to the problem of construction of Feller semigroups in the characteristic case via the Fichera function. Probabilistically, our result may be stated as follows: We construct… read more here.
Keywords: semigroups degenerate; degenerate elliptic; feller semigroups; elliptic operators ... See more keywords
Blowing Up Solutions for Nonlinear Parabolic Systems with Unequal Elliptic Operators
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DOI: 10.1007/s10884-019-09790-x
Abstract: We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators. We introduce a new method… read more here.
Keywords: solutions nonlinear; blowing solutions; parabolic systems; nonlinear parabolic ... See more keywords
Higher order elliptic operators on variable domains. Stability results and boundary oscillations for intermediate problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2017.05.011
Abstract: Abstract We study the spectral behavior of higher order elliptic operators upon domain perturbation. We prove general spectral stability results for Dirichlet, Neumann and intermediate boundary conditions. Moreover, we consider the case of the bi-harmonic… read more here.
Keywords: order elliptic; stability results; higher order; elliptic operators ... See more keywords
Elliptic operators with unbounded diffusion, drift and potential terms
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DOI: 10.1016/j.jde.2017.10.020
Abstract: Abstract We prove that the realization A p in L p ( R N ) , 1 p ∞ , of the elliptic operator A = ( 1 + | x | α ) Δ… read more here.
Keywords: diffusion drift; elliptic operators; potential terms; unbounded diffusion ... See more keywords
Dirichlet-to-Neumann and elliptic operators on C1+-domains: Poisson and Gaussian bounds
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DOI: 10.1016/j.jde.2019.04.034
Abstract: We prove Poisson upper bounds for the heat kernel of the Dirichlet-to-Neumann operator with variable H{\"o}lder coefficients when the underlying domain is bounded and has a C 1+$\kappa$-boundary for some $\kappa$ > 0. We also… read more here.
Keywords: neumann elliptic; domains poisson; operators domains; poisson gaussian ... See more keywords
Optimal kernel estimates for elliptic operators with second order discontinuous coefficients
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.123763
Abstract: Abstract We consider the family of second order elliptic operators L = Δ + ( a − 1 ) ∑ i , j = 1 N x i x j | x | 2 D… read more here.
Keywords: estimates elliptic; kernel estimates; second order; optimal kernel ... See more keywords
Markov semi-groups generated by elliptic operators with divergence-free drift
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125021
Abstract: In this paper we construct a conservative Markov semi-group with generator $L=\Delta+b\cdot\nabla$ on $\mathbb{R}^n$, where $b$ is a divergence-free vector field which belongs to $L^{2}\cap L^{p}$ with $p read more here.
Keywords: semi groups; groups generated; divergence free; generated elliptic ... See more keywords
Homogenization for locally periodic elliptic operators
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125581
Abstract: Abstract We study the homogenization problem for matrix strongly elliptic operators on L 2 ( R d ) n of the form A e = − div A ( x , x / e )… read more here.
Keywords: homogenization locally; elliptic operators; locally periodic; periodic elliptic ... See more keywords
Boundary rectifiability and elliptic operators with W1,1 coefficients
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DOI: 10.1515/acv-2017-0044
Abstract: Abstract We consider second-order divergence form elliptic operators with W1,1{W^{1,1}} coefficients, in a uniform domain Ω with Ahlfors regular boundary. We show that the A∞{A_{\infty}} property of the elliptic measure associated to any such operator… read more here.
Keywords: measure; boundary rectifiability; operators coefficients; rectifiability elliptic ... See more keywords
A Weak Comparison Principle for Some Quasilinear Elliptic Operators: It Compares Functions Belonging to Different Spaces
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DOI: 10.21136/am.2018.0126-18
Abstract: We shall prove a weak comparison principle for quasilinear elliptic operators −div(a(x,∇u)) that includes the negative p-Laplace operator, where a: × ℝN → ℝN satisfies certain conditions frequently seen in the research of quasilinear elliptic… read more here.
Keywords: different spaces; principle quasilinear; weak comparison; comparison principle ... See more keywords
A Comparison of Parallel Algorithms for Numerical Solution of Parabolic Problems with Fractional Power Elliptic Operators
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DOI: 10.3390/axioms11030098
Abstract: In this article we construct parallel solvers analyze the efficiency and accuracy of general parallel solvers for three dimensional parabolic problems with the fractional power of elliptic operators. The proposed discrete method are targeted for… read more here.
Keywords: problems fractional; elliptic operators; fractional power; parallel algorithms ... See more keywords