A priori estimates in weighted spaces for solutions of the Poisson and heat equations

Adam Kubica; Wojciech M. Zajączkowski

Applicationes Mathematicae (2007)

  • Volume: 34, Issue: 4, page 431-444
  • ISSN: 1233-7234

Abstract

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We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.

How to cite

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Adam Kubica, and Wojciech M. Zajączkowski. "A priori estimates in weighted spaces for solutions of the Poisson and heat equations." Applicationes Mathematicae 34.4 (2007): 431-444. <http://eudml.org/doc/280007>.

@article{AdamKubica2007,
abstract = {We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.},
author = {Adam Kubica, Wojciech M. Zajączkowski},
journal = {Applicationes Mathematicae},
keywords = {weighted space; a priori estimate; Poisson equation; heat equation; Kondrat'ev spaces},
language = {eng},
number = {4},
pages = {431-444},
title = {A priori estimates in weighted spaces for solutions of the Poisson and heat equations},
url = {http://eudml.org/doc/280007},
volume = {34},
year = {2007},
}

TY - JOUR
AU - Adam Kubica
AU - Wojciech M. Zajączkowski
TI - A priori estimates in weighted spaces for solutions of the Poisson and heat equations
JO - Applicationes Mathematicae
PY - 2007
VL - 34
IS - 4
SP - 431
EP - 444
AB - We prove a priori estimates for solutions of the Poisson and heat equations in weighted spaces of Kondrat'ev type. The weight is a power of the distance from a distinguished axis.
LA - eng
KW - weighted space; a priori estimate; Poisson equation; heat equation; Kondrat'ev spaces
UR - http://eudml.org/doc/280007
ER -

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