The Dirichlet problem in weighted spaces on a dihedral domain

• Autorzy: Adam Kubica
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 35K05: Heat equation
• 35J25: Boundary value problems for second-order elliptic equations
• 35B45: A priori estimates
• 35J05: Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2009
• Tom: 86
• Numer: 1
• Strony: 207-222

Daty

wydano

2009

Twórcy

autor

Adam Kubica

• Faculty of Mathematics and Information Science, Warsaw University of Technology, Pl. Politechniki 1, 00-661 Warszawa, Poland
• Institute of Mathematics and Cryptology, Military University of Technology, Kaliskiego 2, 00-908 Warszawa, Poland

Identyfikatory

DOI

10.4064/bc86-0-13