Volume 38, Issue 14 pp. 3043-3062
Research Article

Existence of renormalized solutions to a nonlinear parabolic equation in L1 setting with nonstandard growth condition and gradient term

Zhongqing Li

Corresponding Author

Zhongqing Li

College of Mathematics, Jilin University, Changchun 130012, China

Correspondence to: Zhongqing Li, College of Mathematics, Jilin University, Changchun 130012, China.

E-mail: [email protected]

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Wenjie Gao

Wenjie Gao

College of Mathematics, Jilin University, Changchun 130012, China

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First published: 10 September 2014
Citations: 14

Abstract

This paper is devoted to the study of a nonlinear parabolic p(x)-Laplace equation with gradient term and L1 data. The authors obtain the existence of renormalized solutions via strong convergence of truncation. Copyright © 2014 John Wiley & Sons, Ltd.

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