The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)

Adam Kubica

Applicationes Mathematicae (2004)

  • Volume: 31, Issue: 4, page 443-456
  • ISSN: 1233-7234

Abstract

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We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.

How to cite

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Adam Kubica. "The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)." Applicationes Mathematicae 31.4 (2004): 443-456. <http://eudml.org/doc/278903>.

@article{AdamKubica2004,
abstract = {We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.},
author = {Adam Kubica},
journal = {Applicationes Mathematicae},
keywords = {Poisson equation; polygonal domain; mixed boundary value problem; regularity},
language = {eng},
number = {4},
pages = {443-456},
title = {The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)},
url = {http://eudml.org/doc/278903},
volume = {31},
year = {2004},
}

TY - JOUR
AU - Adam Kubica
TI - The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part I)
JO - Applicationes Mathematicae
PY - 2004
VL - 31
IS - 4
SP - 443
EP - 456
AB - We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in L². We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
LA - eng
KW - Poisson equation; polygonal domain; mixed boundary value problem; regularity
UR - http://eudml.org/doc/278903
ER -

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