Results 21 to 30 of about 3,501,569 (379)
Elliptic equations and Gaussian processes [PDF]
Journal of Functional Analysis, 1980 AbstractWe consider a Gaussian process P on s(Rd) generated by a polynomial in the Laplace operator. We prove some support properties for P. As a byproduct we strenghten earlier results on the stochastic Dirichlet problem on bounded regions Λ ⊂ Rd. We describe in this way the conditional P-distribution of the restriction to Λ of s(Rd), supposing ϑ is ...
G. Benfatto +2 more
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Elliptic Gaudin models and elliptic KZ equations [PDF]
Nuclear Physics B, 2002 The Gaudin models based on the face-type elliptic quantum groups and the $XYZ$ Gaudin models are studied. The Gaudin model Hamiltonians are constructed and are diagonalized by using the algebraic Bethe ansatz method. The corresponding face-type Knizhnik-Zamolodchikov equations and their solutions are given.
Yao-Zhong Zhang +3 more
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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
Chunmei Wang, Junping Wang
semanticscholar +1 more source
Cotton-Type and Joint Invariants for Linear Elliptic Systems
The Scientific World Journal, 2013 Cotton-type invariants for a subclass of a system of two linear elliptic equations, obtainable from a complex base linear elliptic equation, are derived both by spliting of the corresponding complex Cotton invariants of the base complex equation and from
A. Aslam, F. M. Mahomed
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Critical Sets of Elliptic Equations [PDF]
Communications on Pure and Applied Mathematics, 2014 Given a solution u to a linear, homogeneous, second‐order elliptic equation with Lipschitz coefficients, we introduce techniques for giving improved estimates of the critical set 𝒷(u)u {x :|δu|(x) = 0}, as well as the first estimates on the effective critical set 𝒷r(u), which roughly consists of points x such that the gradient of u is small somewhere ...
Cheeger J, Naber A, Valtorta D
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Elliptic equations and BMO-functions
Le Matematiche, 1999 See directly the ...
Carlo Sbordone
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On a Singular Elliptic Equation [PDF]
Proceedings of the American Mathematical Society, 1983 In this paper, we study the singular elliptic equation L u + K ( x ) u p = 0 Lu + K(x){u^p} = 0 , where L L is a uniformly elliptic operator of divergence form, p > 1 ...
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Elliptic scattering equations [PDF]
Journal of High Energy Physics, 2016 في الآونة الأخيرة، تم توسيع نهج CHY إلى مستوى حلقة واحدة باستخدام الوظائف الإهليلجية والأشكال المعيارية على صنف جاكوبي. نظرًا لصعوبة التلاعب بهذا النوع من الوظائف، نقترح وصفة طبية بديلة جبرية تمامًا. يعتمد هذا الاقتراح الجديد على منحنى جبري إهليلجي مضمن في مساحة $\mathbb{C}P^2 $.
Carlos A. Cardona, Humberto Gomez
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Existence of positive weak solutions for a class of singular elliptic equations
Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this note, we are concerned with positive solutions for a class of singular elliptic equations. Under some conditions, we obtain weak solutions for the equations by elliptic regularization method and sub-super solution method.
Li Xia, Jingna Li, Zheng'an Yao
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Journal of Applied Mathematics, 2013 We use the improved general mapping deformation method based on the generalized Jacobi elliptic functions expansion method to construct some of the generalized Jacobi elliptic solutions for some nonlinear partial differential equations in mathematical ...
Khaled A. Gepreel
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