On the heat potential of the double distribution
Jiří Veselý (1973)
Časopis pro pěstování matematiky
Similarity:
Jiří Veselý (1973)
Časopis pro pěstování matematiky
Similarity:
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.
Dagmar Medková (1997)
Czechoslovak Mathematical Journal
Similarity:
The paper investigates the third boundary value problem for the Laplace equation by the means of the potential theory. The solution is sought in the form of the Newtonian potential (1), (2), where is the unknown signed measure on the boundary. The boundary condition (4) is weakly characterized by a signed measure . Denote by the corresponding operator on the space of signed measures on the boundary of the investigated domain . If there is such that the essential spectral radius...