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Showing 1 to 9 of 9 for “"Dirichlet problem"”.
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Probability and a Dirichlet Problem for Multiply Superharmonic Functions
Made available in DSpace on 2014-12-09T22:17:36Z (GMT). No. of bitstreams: 1 6706765.pdf: 4156902 bytes, checksum: 4fedc0d75a316ec5976c4b6b3c884c23 (MD5) Previous issue date: 1966
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Constructive Analysis of Partial Differential Equations
… produced in the study of weak solutions of the Dirichlet Problem within Errett Bishop's constructive mathematics. It roughly falls into three major parts: a critical analysis of the classical approaches from a constructive point of view (Chapter 2); constructive results on the existence, …
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Maximal Graphs and Spacelike Mean Curvature Flows in Semi-Euclidean Spaces
… spaces. Existence of smooth solutions to the Dirichlet problem is proved, under certain assumptions on the boundary data. These assumptions allow the application of standard elliptic PDE methods by providing sufficiently strong a priori gradient estimates. The second result is a version of …
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Gauss-type formulas for linear functionals
… useful for approximating, the solution of the Dirichlet problem. We also discuss approximations for integrals of the form I(f) = (1/2πi) ∫<sub>L</sub> (f(z)/(z-α)) dz. Our approximations shall be of the form Q(f) = Σ<sub>k=1</sub><sup>n</sup> A<sub>k</sub>f(τ<sub>k</sub>). We characterize the …
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A posteriori Error Estimators based on Duality Techniques from the Calculus of Variations
… Two applications are discussed in detail: the Dirichlet Problem and the Obstacle Problem. A number of technical issues is considered, which pertain to the evaluation of the proposed error bounds using finite element methods: Inter alia a novel non-conforming discretisation scheme for the dual …
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Mathematical Models of Quiescent Solar Prominences
… realistically, two-dimensional.</p> <p>First a Dirichlet problem on a semi-infinite strip is solved using conformal mapping and the method of images. The base of the strip represents the photosphere where a current distribution can be given as a boundary condition, and the strip extends into a …
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Estimates For Solutions Of Elliptic Partial Differential Equations With Explicit Constants And Aspects Of The Finite Element Method For Second-Order Equations
… Poorer results are obtained for more general problems. Local estimates for solutions of homogeneous equations satisfying homogeneous boundary conditions are also established. These are shown to be independent of p. Now consider the finite element approximation of a solution of a second-order …
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Maximum principle, mean value operators and quasi boundedness in non-euclidean settings
… of regularity, for boundary points, for Dirichlet problem on an open subset of RN related to sub-Laplacian. On a Carnot group we give the essential background for this type of operator, and introduce the notion of “quasi-boundedness”. Then we show the strict relationship between this …
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Brownian motion and multidimensional decision making
… theory and path integrals. Part II, "The problem of alternatives", considers parallel investment in alternative technologies or drugs developed over time, where there can be only one winner. Parallel investment accelerates the search for the winner, and increases the winner's expected …