Parabolic initial-boundary value problems in Orlicz spaces

A. Elmahi; D. Meskine

Annales Polonici Mathematici (2005)

  • Volume: 85, Issue: 2, page 99-119
  • ISSN: 0066-2216

Abstract

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We prove some time mollification properties and imbedding results in inhomogeneous Orlicz-Sobolev spaces which allow us to solve a second order parabolic equation in Orlicz spaces.

How to cite

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A. Elmahi, and D. Meskine. "Parabolic initial-boundary value problems in Orlicz spaces." Annales Polonici Mathematici 85.2 (2005): 99-119. <http://eudml.org/doc/280963>.

@article{A2005,
abstract = {We prove some time mollification properties and imbedding results in inhomogeneous Orlicz-Sobolev spaces which allow us to solve a second order parabolic equation in Orlicz spaces.},
author = {A. Elmahi, D. Meskine},
journal = {Annales Polonici Mathematici},
keywords = {inhomogeneous Orlicz-Sobolev spaces; parabolic problems; mollification; Galerkin method},
language = {eng},
number = {2},
pages = {99-119},
title = {Parabolic initial-boundary value problems in Orlicz spaces},
url = {http://eudml.org/doc/280963},
volume = {85},
year = {2005},
}

TY - JOUR
AU - A. Elmahi
AU - D. Meskine
TI - Parabolic initial-boundary value problems in Orlicz spaces
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 2
SP - 99
EP - 119
AB - We prove some time mollification properties and imbedding results in inhomogeneous Orlicz-Sobolev spaces which allow us to solve a second order parabolic equation in Orlicz spaces.
LA - eng
KW - inhomogeneous Orlicz-Sobolev spaces; parabolic problems; mollification; Galerkin method
UR - http://eudml.org/doc/280963
ER -

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