Results 321 to 330 of about 3,501,569 (379)

Boundary-value problems for elliptic functional-differential equations and their applications

, 2016
Boundary-value problems are considered for strongly elliptic functional-differential equations in bounded domains. In contrast to the case of elliptic differential equations, smoothness of generalized solutions of such problems can be violated in the ...
A. Skubachevskii
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A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

SIAM Review, 2007
In this paper we propose and analyze a stochastic collocation method to solve elliptic partial differential equations with random coefficients and forcing terms (input data of the model).
I. Babuska, F. Nobile, R. Tempone
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Nonlinear Elliptic Equations

1996
Methods of the calculus of variations applied to problems in geometry and classical continuum mechanics often lead to elliptic PDE that are not linear. We discuss a number of examples and some of the developments that have arisen to treat such problems.
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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

, 1989
On etudie les solutions regulieres non negatives de l'equation conformement invariante −Δu=u (n+2)/(n−2) , u>0 dans une boule perforee, B 1 (0)\{0}⊂R n , n≥3, avec une singularite isolee a l ...
L. Caffarelli, B. Gidas, J. Spruck
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Lipschitz Regularity for Elliptic Equations with Random Coefficients

, 2014
We develop a higher regularity theory for general quasilinear elliptic equations and systems in divergence form with random coefficients. The main result is a large-scale L∞-type estimate for the gradient of a solution.
S. Armstrong, J. Mourrat
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Linear Elliptic Equations

1996
The first major topic of this chapter is the Dirichlet problem for the Laplace operator on a compact domain with boundary: $$\Delta u = 0\text{ on }\Omega,\quad {u\bigr |}_{\partial\Omega } = f.$$ (0.1) We also consider the nonhomogeneous problem Δu = g and allow for lower-order terms. As in Chap.
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The spectrum of an elliptic equation

Mathematical Notes of the Academy of Sciences of the USSR, 1972
In this paper we consider conditions for the presence or absence of spectral points in the left complex halfplane of a general second-order elliptic operator.
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On elliptic equations with an axial symmetry [PDF]

Annali di Matematica Pura ed Applicata, 1981
Si considera l'equazione (*) auxx+2buxy+cuyy+(d/y)uy=f dove a, b, c, d e L∞, d > 0, f e L2. Supponendo che (*) sia uniformemente eliittica e che l'oscillazione del quoziente d/a verifichi una resirizione vicino all'asse della x, si provano stime a priori e un teorema di esistenza per soluzioni W2,2 di un problema di Dirichlet relativo all'equazione (*).
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Homogenization of an Elliptic Equation [PDF]

, 2009
In the early 1970s, Francois MURAT and myself were not aware of the theory of G-convergence, the convergence of Green kernels, which Sergio SPAGNOLO developed in the late 1960s, helped with the insight of Ennio DE GIORGI.
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Solution of Elliptic Equations

1981
Solution of the Poisson equation (2.8) is necessary whenever we employ the vorticity—stream function formulation of the incompressible fluid equations. A Poisson equation (2.10) is also encountered when we seek the solution for the pressure in the primitive equation formulation.
R. V. Madala, B. E. McDonald
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