Dirichlet Problem
Mostrando 13-21 de 21 artigos, teses e dissertações.
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13. Semiconductors and Dirichlet-to-Neumann maps
We investigate the problem of identifying discontinuous doping profiles in semiconductor devices from data obtained by the stationary voltage-current (VC) map. The related inverse problem correspond to the inverse problem for the Dirichlet-to-Neumann (DN) map with partial data.
Computational & Applied Mathematics. Publicado em: 2006
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14. A one-shot inpainting algorithm based on the topological asymptotic analysis
The aim of this article is to propose a new method for the inpainting problem. Inpainting is the problem of filling-in holes in images. We consider in this article the crack localization problem, which can be solved using the Dirichlet to Neumann approach and the topological gradient. In a similar way, we can define a Dirichlet and a Neumann inpainting probl
Computational & Applied Mathematics. Publicado em: 2006
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15. Uniqueness and nondegeneracy for problems involving p-laplacian in annuli / Unicidade e não-degenerescencia para problemas envolvendo p-laplaciano em aneis
Neste trabalho estudamos a unicidade e a não-degenerescência de soluções positi-vas radiais para problemas não-autônomos envolvendo o p-Iaplaciano em anéis e bolas, com condição de Neumann na parte interna do anel, e condição de Dirichlet na parte externa. Quando o domínio é uma bola, temos apenas a condição de Dirichlet. Consideraremos três
Publicado em: 2005
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16. ESTIMATIVAS A PRIORI DO GRADIENTE, EXISTÊNCIA E NÃO-EXISTÊNCIA, PARA UMA EQUAÇÃO DA CURVATURA MÉDIA NO ESPAÇO HIPERBÓLICO / A PRIORI GRADIENT ESTIMATES, EXISTENCE AND NON-EXISTENCE FOR A MEAN CURVATURE EQUATION IN HYPERBOLIC SPACE
Um resultado clássico no âmbito de equações diferenciais parciais e de geometria diferencial é o seguinte: Dada uma constante a existe uma condição da fronteira do domínio (Omega) de maneira que o problema de Dirichlet para a equação da curvatura média a no espaço Euclidiano é sempre solúvel. Este é um teorema devido a Serrin (1969). Além dis
Publicado em: 2003
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17. THE DIRICHLET PROBLEM FOR QUASILINEAR EQUATIONS WITH MANY INDEPENDENT VARIABLES
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18. Regularity of the Dirichlet problem for the complex Monge-Ampère equation
Regularity up to the boundary of the solutions of a boundary value problem for a complex Monge-Ampère equation on perturbations of an annulus in Cn is proven. The result can be applied to the classification of such domains.
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19. Strongly nonlinear parabolic initial-boundary value problems
An existence and uniqueness result is presented for the solution of a parabolic initial-boundary value problem under Dirichlet null boundary conditions for a general parabolic equation of order 2m with a strongly nonlinear zeroth-order perturbation. This is the parabolic generalization of a class of elliptic results considered earlier by the writers and othe
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20. The boundary value problem for maximal hypersurfaces
A spacelike hypersurface (condimension 1) in a Lorentzian manifold is called a maximal surface if it extremizes the hypervolume functional. Although maximal surfaces are superficially analogous to minimal hypersurfaces in Riemannian geometry, their properties can be dramatically different, as can be seen from the validity of Bernstein's theorem in all dimens
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21. Rational approximations to solutions of linear differential equations
Rational approximations of Padé and Padé type to solutions of differential equations are considered. One of the main results is a theorem stating that a simultaneous approximation to arbitrary solutions of linear differential equations over C(x) cannot be “better” than trivial ones implied by the Dirichlet box principle. This constitutes, in particular