The Dirichlet problem in weighted spaces on a dihedral domain

Adam Kubica

Banach Center Publications (2009)

  • Volume: 86, Issue: 1, page 207-222
  • ISSN: 0137-6934

Abstract

top
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.

How to cite

top

Adam Kubica. "The Dirichlet problem in weighted spaces on a dihedral domain." Banach Center Publications 86.1 (2009): 207-222. <http://eudml.org/doc/282126>.

@article{AdamKubica2009,
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.},
author = {Adam Kubica},
journal = {Banach Center Publications},
keywords = {Poisson equation; heat equation; weighted spaces; dihedral domain; Dirichlet problem; a priori estimates},
language = {eng},
number = {1},
pages = {207-222},
title = {The Dirichlet problem in weighted spaces on a dihedral domain},
url = {http://eudml.org/doc/282126},
volume = {86},
year = {2009},
}

TY - JOUR
AU - Adam Kubica
TI - The Dirichlet problem in weighted spaces on a dihedral domain
JO - Banach Center Publications
PY - 2009
VL - 86
IS - 1
SP - 207
EP - 222
AB - 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.
LA - eng
KW - Poisson equation; heat equation; weighted spaces; dihedral domain; Dirichlet problem; a priori estimates
UR - http://eudml.org/doc/282126
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.