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

Adam Kubica

Applicationes Mathematicae (2005)

  • Volume: 32, Issue: 1, page 17-36
  • 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 II)." Applicationes Mathematicae 32.1 (2005): 17-36. <http://eudml.org/doc/279069>.

@article{AdamKubica2005,
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 of weak and very weak solutions},
language = {eng},
number = {1},
pages = {17-36},
title = {The regularity of weak and very weak solutions of the Poisson equation on polygonal domains with mixed boundary conditions (part II)},
url = {http://eudml.org/doc/279069},
volume = {32},
year = {2005},
}

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 II)
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 1
SP - 17
EP - 36
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 of weak and very weak solutions
UR - http://eudml.org/doc/279069
ER -

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