Elliptic regularity theory applied to time harmonic anisotropic Maxwell's equations with less than Lipschitz complex coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2014 The focus of this paper is the study of the regularity properties of the time harmonic Maxwell's equations with anisotropic complex coefficients, in a bounded domain with $C^{1,1}$ boundary. We assume that at least one of the material parameters is $W^{1,
Alberti, Giovanni S., Capdeboscq, Yves
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Existence and Regularity Results for Anisotropic Elliptic Problems
Advanced Nonlinear Studies, 2009 Abstract We study existence and regularity of the solutions for some anisotropic elliptic problems with homogeneous Dirichlet boundary conditions in bounded domains.
Agnese Di Castro
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Application of the Stampacchia lemma to anisotropic degenerate elliptic equations
Journal of Innovative Applied Mathematics and Computational Sciences, 2023 In this paper, we prove the existence and regularity of solutions for a class of nonlinear anisotropic degenerate elliptic equations with the data f belonging to certain Marcinkiewicz spaces Mm(Ω) with m > 1.
Hichem
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On the striated regularity for the 2D anisotropic Boussinesq system [PDF]
, 2019 In this paper, we investigate the global existence and uniqueness of strong solutions to 2D Boussinesq system with anisotropic thermal diffusion or anisotropic viscosity and with striated initial data.
Paicu, Marius, Zhu, Ning
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Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra [PDF]
, 2011 We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the same as those introduced by Guo in 1993 in view of establishing exponential ...
Costabel, Martin +2 more
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Multi-Anisotropic Gevrey Regularity of Hypoelliptic Operators [PDF]
, 2008 This is the preprint version of our paper in the journal Operator Theory : Advances and Applications, Vol.
Bouzar, Chikh, Dali, Ahmed
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Generalized compact star models with conformal symmetry
European Physical Journal C: Particles and Fields, 2021 We generate a new generalized regular charged anisotropic exact model that admits conformal symmetry in static spherically symmetric spacetime. Our model was examined for physical acceptability as realistic stellar models. The regularity is not violated,
J. W. Jape +3 more
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Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces [PDF]
, 2018 We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete ...
Dang, Nguyen Viet, Riviere, Gabriel
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Anisotropic Besov regularity of parabolic PDEs
, 2021 This paper is concerned with the regularity of solutions to parabolic evolution equations. Special attention is paid to the smoothness in the specific anisotropic scale $\ B^{r\mathbf{a}}_{ , }, \ \frac{1} =\frac{r}{d}+\frac{1}{p}\ $ of Besov spaces where $\mathbf{a}$ measures the anisotropy.
Dahlke, Stephan, Schneider, Cornelia
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Multiple positive solutions for singular anisotropic Dirichlet problems
Electronic Journal of Qualitative Theory of Differential Equations, 2021 We consider a nonlinear Dirichlet problem driven by the variable exponent (anisotropic) $p$-Laplacian and a reaction that has the competing effects of a singular term and of a superlinear perturbation. There is no parameter in the equation (nonparametric
Zhenhai Liu, Nikolaos Papageorgiou
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