Global Existence and Decay Estimates of Solutions of a Parabolic–Elliptic–Parabolic System for Ion Transport Networks
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DOI: 10.1007/s00025-020-1172-y
Abstract: This paper deals with a parabolic-elliptic-parabolic system arising from ion transport networks originally proposed by Albi et al. (Anal Appl 14(1):185–206, 2016). Our investigation demonstrates that the local existence of the weak solution can always… read more here.
Keywords: transport networks; parabolic system; system; parabolic elliptic ... See more keywords
Nondivergence elliptic and parabolic problems with irregular obstacles
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-018-2048-7
Abstract: We prove the natural weighted Calderón and Zygmund estimates for solutions to elliptic and parabolic obstacle problems in nondivergence form with discontinuous coefficients and irregular obstacles. We also obtain Morrey regularity results for the Hessian… read more here.
Keywords: problems irregular; elliptic parabolic; irregular obstacles; nondivergence elliptic ... See more keywords
Continuous Galerkin and Enriched Galerkin Methods with Arbitrary Order Discontinuous Trial Functions for the Elliptic and Parabolic Problems with Jump Conditions
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DOI: 10.1007/s10915-020-01255-4
Abstract: In this paper, a new version of the enriched Galerkin (EG) method for elliptic and parabolic equations is presented and analyzed, which is capable of dealing with a jump condition along a submanifold $${\Gamma _{\text… read more here.
Keywords: enriched galerkin; method; elliptic parabolic; continuous galerkin ... See more keywords
Inverse Source and Coefficient Problems for Elliptic and Parabolic Equations in Hölder and Sobolev Spaces
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DOI: 10.1007/s10958-019-04184-2
Abstract: We review some results obtained by the authors during the last 15 years. In particular, we present the existence and uniqueness theorems for linear and nonlinear inverse problems of reconstructing unknown coefficients in elliptic and… read more here.
Keywords: elliptic parabolic; source coefficient; problems elliptic; inverse source ... See more keywords
Stabilized Lagrange multiplier method for elliptic and parabolic interface problems
Sign Up to like & getrecommendations! Published in 2017 at "Applied Numerical Mathematics"
DOI: 10.1016/j.apnum.2017.05.011
Abstract: Abstract In this paper, we discuss a new stabilized Lagrange multiplier method for finite element solution of multi-domain elliptic and parabolic initial-boundary value problems with non-matching grid across the subdomain interfaces. The proposed method is… read more here.
Keywords: lagrange multiplier; interface problems; elliptic parabolic; multiplier method ... See more keywords
Distance from submanifolds with boundary and applications to Poincaré inequalities and to elliptic and parabolic problems
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.04.038
Abstract: Abstract We investigate regularity of the distance function from submanifolds with boundary of R n . By exploiting these regularity results, we show a Poincare inequality with matrix weights that degenerate along a submanifold with… read more here.
Keywords: elliptic parabolic; distance submanifolds; boundary applications; applications poincar ... See more keywords
Local regularity for nonlinear elliptic and parabolic equations with anisotropic weights
Sign Up to like & getrecommendations! Published in 2022 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091523000202
Abstract: The main purpose of this paper is to capture the asymptotic behaviour for solutions to a class of nonlinear elliptic and parabolic equations with the anisotropic weights consisting of two power-type weights of different dimensions… read more here.
Keywords: parabolic equations; equations anisotropic; nonlinear elliptic; anisotropic weights ... See more keywords
A problem with integral conditions for an elliptic-parabolic equation
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Notes"
DOI: 10.1134/s0001434617070082
Abstract: A problem with integral conditions for a differential equation of elliptic-parabolic type in a mixed domain consisting of a rectangle and a half-disk is posed. The unique solvability of this problem is proved. read more here.
Keywords: conditions elliptic; elliptic parabolic; integral conditions; equation ... See more keywords
Bitsadze–Samarskii Boundary Conditions for an Elliptic-Parabolic Volume Potential with Smooth Matching
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DOI: 10.1134/s0012266120060075
Abstract: Abstract Bitsadze–Samarskii boundary conditions are obtained for a regular elliptic-parabolic volume potential given in a cylindrical domain based on the spectral decomposition of Green’s function of the Holmgren problem. read more here.
Keywords: boundary conditions; volume potential; parabolic volume; elliptic parabolic ... See more keywords