Uniqueness of Dirichlet, Neumann, and mixed boundary value problems for Laplace's and Poisson's equations for a rectangle.
J. B. Díaz, R. B. Ram (1979)
Collectanea Mathematica
Similarity:
Displaying similar documents to “On the boundary values of harmonic functions.”
Uniqueness of Dirichlet, Neumann, and mixed boundary value problems for Laplace's and Poisson's equations for a rectangle.
Infinite dimension of solutions of the Dirichlet problem
Vladimir Ryazanov (2015)
Open Mathematics
Similarity:
It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
The boundary-value problems for Laplace equation and domains with nonsmooth boundary
Dagmar Medková (1998)
Archivum Mathematicum
Similarity:
Dirichlet, Neumann and Robin problem for the Laplace equation is investigated on the open set with holes and nonsmooth boundary. The solutions are looked for in the form of a double layer potential and a single layer potential. The measure, the potential of which is a solution of the boundary-value problem, is constructed.
On the solution of elliptic partial differential equations with an unbounded Dirichlet integral
Nečas, J.
Similarity:
Continuous extendibility of solutions of the Neumann problem for the Laplace equation
Dagmar Medková (2003)
Czechoslovak Mathematical Journal
Similarity:
A necessary and sufficient condition for the continuous extendibility of a solution of the Neumann problem for the Laplace equation is given.