The regularity of weak and very
weak solutions of the Poisson equation
on polygonal domains with mixed
boundary conditions (part II)
Applicationes Mathematicae, Tome 32 (2005) no. 1, pp. 17-36
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences
We examine the regularity of weak and very weak solutions of the Poisson equation on polygonal domains with data in $L^2$. We consider mixed Dirichlet, Neumann and Robin boundary conditions. We also describe the singular part of weak and very weak solutions.
Keywords:
examine regularity weak weak solutions poisson equation polygonal domains consider mixed dirichlet neumann robin boundary conditions describe singular part weak weak solutions
Affiliations des auteurs :
Adam Kubica 1
@article{10_4064_am32_1_2,
author = {Adam Kubica},
title = {The regularity of weak and very
weak solutions of the {Poisson} equation
on polygonal domains with mixed
boundary conditions (part {II)}},
journal = {Applicationes Mathematicae},
pages = {17--36},
year = {2005},
volume = {32},
number = {1},
doi = {10.4064/am32-1-2},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am32-1-2/}
}
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 SP - 17 EP - 36 VL - 32 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4064/am32-1-2/ DO - 10.4064/am32-1-2 LA - en ID - 10_4064_am32_1_2 ER -
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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, Tome 32 (2005) no. 1, pp. 17-36. doi: 10.4064/am32-1-2
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