Lipschitz constants for positive solutions of second-order elliptic equations [PDF]
Electronic Journal of Differential Equations, 2010 We are concerned with positive solutions of second order fully nonlinear elliptic equations. Here we present Lipschitz estimates, in the viscosity setting, and bounds for optimal constants.
Antonio Vitolo
doaj +1 more source
Approximate method for solving discontinuous boundary value problem of non-linear elliptic equations of second order [PDF]
, 2014 This article deals with the approximate solving method of general discontinuous boundary value problem for non-linear uniformly elliptic equations of second order in multiply connected domains.
Wen, Guochun
core +1 more source
Discontinuous Galerkin Finite Element Approximation of Nonlinear Second-Order Elliptic and Hyperbolic Systems [PDF]
, 2006 We develop the convergence analysis of discontinuous Galerkin finite element approximations to second-order quasilinear elliptic and hyperbolic systems of partial differential equations of the form, respectively, $-\sum_{\alpha=1}^d \partial_{x_\alpha ...
Suli, Endre +5 more
core +1 more source
Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients [PDF]
, 2013 This is the post-print version of the Article. The official publised version can be accessed from the links below. Copyright @ 2013 Springer BaselEmploying the localized integral potentials associated with the Laplace operator, the Dirichlet, Neumann and
Mikhailov, SE +2 more
core +1 more source
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
core +2 more sources
Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
, 2007 Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
core +1 more source
Elliptic Combinatorics and Markov Processes [PDF]
, 2012 We present combinatorial and probabilistic interpretations of recent results in the theory of elliptic special functions (due to, among many others, Frenkel, Turaev, Spiridonov, and Zhedanov in the case of univariate functions, and Rains in the ...
Betea, Dan Dumitru
core +1 more source
Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains [PDF]
, 2013 This is the post-print version of the Article. The official published version can be accessed from the link below - Copyright @ 2013 ElsevierElliptic PDE systems of the second order with coefficients from L∞ or Holder-Lipschitz spaces are considered in ...
Mikhailov, SE
core +1 more source
Stable splitting of bivariate spline spaces by Bernstein-Bézier methods [PDF]
, 2012 We develop stable splitting of the minimal determining sets for the spaces of bivariate C1 splines on triangulations, including a modified Argyris space, Clough-Tocher, Powell-Sabin and quadrilateral macro-element spaces.
Saeed, Abid +3 more
core +1 more source
Multi-dimensional Morse Index Theorems and a symplectic view of elliptic boundary value problems [PDF]
, 2011 Morse Index Theorems for elliptic boundary value problems in multi-dimensions are proved under various boundary conditions. The theorems work for star-shaped domains and are based on a new idea of measuring the "oscillation" of the trace of the set of ...
Deng, Jian +1 more
core +1 more source