The Dirichlet problem in weighted spaces on a dihedral domain
Volume 86 / 2009
Banach Center Publications 86 (2009), 207-222
MSC: 35J05,
35K05, 35J25, 35B45.
DOI: 10.4064/bc86-0-13
Abstract
We examine the Dirichlet problem for the Poisson equation and the heat equation in weighted spaces of Kondrat'ev's type on a dihedral domain. The weight is a power of the distance from a distinguished axis and it depends on the order of the derivative. We also prove a priori estimates.
