The representation u(x) = F2(x)Qm-2(x)+Qm(x) for the solution to the Dirichlet problem for the Laplace equation in a disk: F2(x) = jx - x0j2 - c2 6 0, is proved using the Poisson integral; Qm(x) being the polynomial boundary function of degree m, Qm-2(x) being the uniquely determined polynomial of degree m - 2
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
For continuous boundary data, the modified Poisson integral is used to write solutions to the half s...
The representation u(x) = F2(x)Qm-2(x)+Qm(x) for the solution to the Dirichlet problem for the Lapla...
Explicit formulas for the solution to the Dirichlet problem for the Laplaceequation in a disk in pol...
Cataloged from PDF version of article.We give explicit formulas, without using the Poisson integral,...
We give explicit formulas, without using the Poisson integral, for the functions that are C-harmonic...
Thesis (M.A.)--Boston UniversityThe problem of finding the solution to a general eliptic type partia...
AbstractIf u(z) = Re F(z) is the solution to the Dirichlet problem for Laplace's equation in an elli...
AbstractIf u(z) = Re F(z) is the solution to the Dirichlet problem for Laplace's equation in an elli...
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
The paper considers the multidimensional Poisson equation in the domain bounded by two parallel hype...
This paper is concerned with the study of harmonic functions known as the Dirichlet Problem
The standard boundary element method applied to a problem with Dirichlet boundary conditions leads t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46183/1/205_2004_Article_BF00248204.pd
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
For continuous boundary data, the modified Poisson integral is used to write solutions to the half s...
The representation u(x) = F2(x)Qm-2(x)+Qm(x) for the solution to the Dirichlet problem for the Lapla...
Explicit formulas for the solution to the Dirichlet problem for the Laplaceequation in a disk in pol...
Cataloged from PDF version of article.We give explicit formulas, without using the Poisson integral,...
We give explicit formulas, without using the Poisson integral, for the functions that are C-harmonic...
Thesis (M.A.)--Boston UniversityThe problem of finding the solution to a general eliptic type partia...
AbstractIf u(z) = Re F(z) is the solution to the Dirichlet problem for Laplace's equation in an elli...
AbstractIf u(z) = Re F(z) is the solution to the Dirichlet problem for Laplace's equation in an elli...
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
The paper considers the multidimensional Poisson equation in the domain bounded by two parallel hype...
This paper is concerned with the study of harmonic functions known as the Dirichlet Problem
The standard boundary element method applied to a problem with Dirichlet boundary conditions leads t...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46183/1/205_2004_Article_BF00248204.pd
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
In this note we provide a probabilistic proof that Poisson and/or Dirichlet problems in an ellipsoid...
For continuous boundary data, the modified Poisson integral is used to write solutions to the half s...
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