Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics
Journal of Applied Mathematics, 2012 We put a direct new method to construct the rational Jacobi elliptic solutions for nonlinear differential difference equations which may be called the rational Jacobi elliptic functions method.
Khaled A. Gepreel, A. R. Shehata
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A Priori and a Posteriori Error Analysis for Generic Linear Elliptic Problems
Tikrit Journal of Pure Science, 2022 In this paper, a priori error analysis has been examined for the continuous Galerkin finite element method which is used for solving a generic scalar and a generic system of linear elliptic equations.
Hala Raad, Mohammad Sabawi
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Современная математика: Фундаментальные направления, 2019 We consider strongly elliptic differential-difference equations with mixed boundary conditions in a cylindrical domain. We establish the connection between such problems and nonlocal mixed problems for strongly elliptic differential equations, and prove ...
V. V. Liiko, A. L. Skubachevskii
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Existence Results for Quasilinear Degenerated Equations vias Strong Convergence of Truncations [PDF]
, 2020 In this paper, we study the existence of entropy solution for quasilinear elliptic equations of the form, is a non-linear term which has a growth condition with respect to ξ and no growth with respect to s, but it satisfies a sign condition on s.
J Electronic +3 more
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Optimized Schwarz methods for Maxwell's equations [PDF]
, 2009 Over the last two decades, classical Schwarz methods have been extended to systems of hyperbolic partial differential equations, using characteristic transmission conditions, and it has been observed that the classical Schwarz method can be convergent ...
Dolean Maini, Victorita +6 more
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Hölder Regularity of Solutions to Second-Order Elliptic Equations in Nonsmooth Domains
Boundary Value Problems, 2006 We establish the global Hölder estimates for solutions to second-order elliptic equations, which vanish on the boundary, while the right-hand side is allowed to be unbounded.
Sungwon Cho, Mikhail Safonov
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A primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form [PDF]
Mathematics of Computation, 2015 This article proposes a new numerical algorithm for second order elliptic equations in non-divergence form. The new method is based on a discrete weak Hessian operator locally constructed by following the weak Galerkin strategy. The numerical solution is
Chun-Mei Wang, Jun-Ping Wang
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Regularity results for nonlocal fully nonlinear elliptic equations [PDF]
, 2013 Rang M. Regularity results for nonlocal fully nonlinear elliptic equations. Bielefeld: Universitätsbibliothek; 2013.In this thesis we consider nonlocal fully nonlinear elliptic operators derived from a certain class of linear integro-differential ...
Rang, Marcus
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Leucine‐rich glioma inactivated 1 (LGI1) is a ganglioside‐binding protein
FEBS Letters, EarlyView.Neuronal hyperexcitability associated with a decrease/absence of the extracellular protein LGI1 has been suggested to be primarily due to the downregulation of Kv1 channel expression. The molecular mechanisms underlying this decrease have not yet been elucidated.
Kévin Debreux +7 more
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Regularity for a more general class of quasilinear elliptic equations
, 1984 On considere des solutions u∈H 1,p (Ω)∧L ∞ (Ω ...
P. Tolksdorf
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