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Volume 28, Issue 3
Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space

Youssef Akdim, Chakir Allalou & El gorch Nezha

DOI: 10.4208/jpde.v28.n3.3

J. Part. Diff. Eq., 28 (2015), pp. 225-252.

Published online: 2015-09

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  • Abstract
This article is devoted to study the existence of renormalized solutions for the nonlinear p(x)-parabolic problemin the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity condition.
  • Keywords

Weighted variable exponent Lebesgue Sobolev space Young's inequality renormalized solution parabolic problems

  • AMS Subject Headings

35J15, 35J70, 35J85

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

akdimyoussef@yahoo.fr (Youssef Akdim)

chakir_alalou@yahoo.fr (Chakir Allalou)

nezhaelgorch@gmail.com (El gorch Nezha)

  • BibTex
  • RIS
  • TXT
@Article{JPDE-28-225, author = {Akdim , YoussefAllalou , Chakir and Nezha , El gorch}, title = {Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space}, journal = {Journal of Partial Differential Equations}, year = {2015}, volume = {28}, number = {3}, pages = {225--252}, abstract = { This article is devoted to study the existence of renormalized solutions for the nonlinear p(x)-parabolic problemin the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity condition.}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v28.n3.3}, url = {http://global-sci.org/intro/article_detail/jpde/5112.html} }
TY - JOUR T1 - Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space AU - Akdim , Youssef AU - Allalou , Chakir AU - Nezha , El gorch JO - Journal of Partial Differential Equations VL - 3 SP - 225 EP - 252 PY - 2015 DA - 2015/09 SN - 28 DO - http://doi.org/10.4208/jpde.v28.n3.3 UR - https://global-sci.org/intro/article_detail/jpde/5112.html KW - Weighted variable exponent Lebesgue Sobolev space KW - Young's inequality KW - renormalized solution KW - parabolic problems AB - This article is devoted to study the existence of renormalized solutions for the nonlinear p(x)-parabolic problemin the Weighted-Variable-Exponent Sobolev spaces, without the sign condition and the coercivity condition.
Akdim , YoussefAllalou , Chakir and Nezha , El gorch. (2015). Renormalized Solutions of Nonlinear Parabolic Equations in Weigthed Variable-Exponent Space. Journal of Partial Differential Equations. 28 (3). 225-252. doi:10.4208/jpde.v28.n3.3
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