Harmonic boundary value problems in half disc and half ring
Begehr, Heinrich ; Vaitekhovich, Tatyana
Funct. Approx. Comment. Math., Tome 40 (2009) no. 1, p. 251-282 / Harvested from Project Euclid
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The Schwarz problem for the Cauchy-Riemann equation and the Dirichlet and Neumann problems for the Poisson equation are explicitly solved in a half disc and a half ring of the complex plane. The respective Poisson kernels and the Green and Neumann functions are given.
Publié le : 2009-06-15
Classification:  Schwarz problem,  Dirichlet problem,  Neumann problem,  Cauchy-Riemann equation,  Poisson equation,  half disc,  half ring,  30E25,  31A25,  35J25 
@article{1246454030,
     author = {Begehr, Heinrich and Vaitekhovich, Tatyana},
     title = {Harmonic boundary value problems in half disc and half ring},
     journal = {Funct. Approx. Comment. Math.},
     volume = {40},
     number = {1},
     year = {2009},
     pages = { 251-282},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1246454030}
}

Begehr, Heinrich; Vaitekhovich, Tatyana. Harmonic boundary value problems in half disc and half ring. Funct. Approx. Comment. Math., Tome 40 (2009) no. 1, pp.  251-282. http://gdmltest.u-ga.fr/item/1246454030/