Dirichlet problem

Xem 1-13 trên 13 kết quả Dirichlet problem
  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article On a Perturbed Dirichlet Problem for a Nonlocal Differential Equation of Kirchhoff Type

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  • We show that the Dirichlet to Neumann map for the equation ∇·σ∇u = 0 in a two-dimensional domain uniquely determines the bounded measurable conductivity σ. This gives a positive answer to a question of A. P. Calder´n o from 1980. Earlier the result has been shown only for conductivities that are sufficiently smooth. In higher dimensions the problem remains open. Contents Introduction and outline of the method

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  • In this paper we improve an earlier result by Bukhgeim and Uhlmann [1], by showing that in dimension n ≥ 3, the knowledge of the Cauchy data for the Schr¨dinger equation measured on possibly very small subsets of the o boundary determines uniquely the potential. We follow the general strategy of [1] but use a richer set of solutions to the Dirichlet problem. This implies a similar result for the problem of Electrical Impedance Tomography which consists in determining the conductivity of a body by making voltage and current measurements at the boundary. ...

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  • Zeng et al. Boundary Value Problems 2011, 2011:57 http://www.boundaryvalueproblems.com/content/2011/1/57 RESEARCH Open Access Uniform blow-up rate for a porous medium equation with a weighted localized source Weili Zeng1, Xiaobo Lu2* and Qilin Liu3 * Correspondence: xblu2008@yahoo.cn 2 School of Automation, Southeast University, Nanjing 210096, China Full list of author information is available at the end of the article Abstract In this article, we investigate the Dirichlet problem for a porous medium equation with a more complicated source term.

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  • Cho một μ biện pháp tích cực trên một miền mạnh mẽ pseudoconvex Cn. Chúng tôi nghiên cứu vấn đề Dirichlet (DDC u) n = μ trong một lớp mới của chức năng plurisubharmonic. Lớp này bao gồm Ep các lớp học (p ≥ 1) được giới thiệu bởi Cegrell trong [5].1.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Three Solutions to Dirichlet Boundary Value Problems for p-Laplacian Difference Equations

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  • In this paper, we prove global second derivative estimates for solutions of the Dirichlet problem for the Monge-Amp`re equation when the inhomogee neous term is only assumed to be H¨lder continuous. As a consequence of our o approach, we also establish the existence and uniqueness of globally smooth solutions to the second boundary value problem for the affine maximal surface equation and affine mean curvature equation.

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  • Luong and Loi Boundary Value Problems 2011, 2011:56 http://www.boundaryvalueproblems.com/content/2011/1/56 RESEARCH Open Access Initial boundary value problems for second order parabolic systems in cylinders with polyhedral base Vu Trong Luong1* and Do Van Loi2 * Correspondence: luongvt2003@yahoo.

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  • Boundary Value Problems This Provisional PDF corresponds to the article as it appeared upon acceptance. Fully formatted PDF and full text (HTML) versions will be made available soon. Numerical-analytic technique for investigation of solutions of some nonlinear equations with Dirichlet conditions Boundary Value Problems 2011, 2011:58 doi:10.1186/1687-2770-2011-58 Andrei Ronto (ronto@math.cas.cz) Miklos Ronto (matronto@gold.uni-miskolc.hu) Gabriela Holubova (gabriela@kma.zcu.cz) Petr Necesal (pnecesal@kma.zcu.

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  • BOUNDARY VALUE PROBLEMS FOR THE 2ND-ORDER SEIBERG-WITTEN EQUATIONS CELSO MELCHIADES DORIA Received 8 June 2004 It is shown that the nonhomogeneous Dirichlet and Neuman problems for the 2nd-order Seiberg-Witten equation on a compact 4-manifold X admit a regular solution once the nonhomogeneous Palais-Smale condition is satisfied. The approach consists in applying the elliptic techniques to the variational setting of the Seiberg-Witten equation. The gauge invariance of the functional allows to restrict the problem to the Coulomb subspace C of configuration space.

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  • Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: EXISTENCE OF SOLUTIONS FOR A NONLINEAR ELLIPTIC DIRICHLET BOUNDARY VALUE PROBLEM WITH AN INVERSE SQUARE POTENTIAL

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  • Leif Mejlbro was educated as a mathematician at the University of Copenhagen, where he wrote his thesis on Linear Partial Differential Operators and Distributions. Shortly after he obtained a position at the Technical University of Denmark, where he remained until his retirement in 2003. He has twice been on leave, first time one year at the Swedish Academy, Stockholm, and second time at the Copenhagen Telephone Company, now part of the Danish Telecommunication Company, in both places doing research....

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  • Sphere packings is one of the most fascinating and challenging subjects in mathematics. Almost four centuries ago, Kepler studied the densities of sphere packings and made his famous conjecture. Several decades later, Gregory and Newton discussed the kissing numbers of spheres and proposed the Gregory-Newton problem. Since then, these problems and related ones have attracted the attention of many prominent mathematicians such as Blichfeldt, Dirichlet, Gauss, Hermite, Korkin, Lagrange, Minkowski, Thue, Voronoi, Watson, and Zolotarev, as well as many active today....

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