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Existence of renormalized solutions to a nonlinear parabolic equation in L 1 setting with nonstandard growth condition and gradient term
Author(s) -
Li Zhongqing,
Gao Wenjie
Publication year - 2014
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3280
Subject(s) - mathematics , term (time) , truncation (statistics) , nonlinear system , convergence (economics) , mathematical analysis , laplace transform , mathematical physics , physics , statistics , quantum mechanics , economics , economic growth
This paper is devoted to the study of a nonlinear parabolic p( x )‐Laplace equation with gradient term and L 1 data. The authors obtain the existence of renormalized solutions via strong convergence of truncation. Copyright © 2014 John Wiley & Sons, Ltd.