Solvability of the Poisson equation in weighted Sobolev spaces

Wojciech M. Zajączkowski. "Solvability of the Poisson equation in weighted Sobolev spaces." Applicationes Mathematicae 37.3 (2010): 325-339. <http://eudml.org/doc/280026>.

@article{WojciechM2010,
abstract = {The aim of this paper is to prove the existence of solutions to the Poisson equation in weighted Sobolev spaces, where the weight is the distance to some distinguished axis, raised to a negative power. Therefore we are looking for solutions which vanish sufficiently fast near the axis. Such a result is useful in the proof of the existence of global regular solutions to the Navier-Stokes equations which are close to axially symmetric solutions.},
author = {Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {Poisson equation; weighted Sobolev spaces; existence in weighted Sobolev spaces},
language = {eng},
number = {3},
pages = {325-339},
title = {Solvability of the Poisson equation in weighted Sobolev spaces},
url = {http://eudml.org/doc/280026},
volume = {37},
year = {2010},
}

TY - JOUR
AU - Wojciech M. Zajączkowski
TI - Solvability of the Poisson equation in weighted Sobolev spaces
JO - Applicationes Mathematicae
PY - 2010
VL - 37
IS - 3
SP - 325
EP - 339
AB - The aim of this paper is to prove the existence of solutions to the Poisson equation in weighted Sobolev spaces, where the weight is the distance to some distinguished axis, raised to a negative power. Therefore we are looking for solutions which vanish sufficiently fast near the axis. Such a result is useful in the proof of the existence of global regular solutions to the Navier-Stokes equations which are close to axially symmetric solutions.
LA - eng
KW - Poisson equation; weighted Sobolev spaces; existence in weighted Sobolev spaces
UR - http://eudml.org/doc/280026
ER -