Ning Pan, Binlin Zhang, Jun Cao
Abstract:
In this article we study nonlinear parabolic equations with
p(x)-growth in the space
.
By using the method of parabolic regularization, we prove the existence and
uniqueness of weak solutions for the equation
Also, we study the localization property of weak solutions for the
above equation.
Submitted April 2, 2016. Published August 2, 2016.
Math Subject Classifications: 35K15, 35K20, 35K55.
Key Words: Parabolic equation; p(x)-growth condition.
Show me the PDF file (282 KB), TEX file for this article.
Ning Pan Department of Mathematics Northeast Forestry University Harbin 150040, China email: hljpning@163.com | |
Binlin Zhang Department of Mathematics Heilongjiang Institute of Technology Harbin 150050, China email: zhangbinlin2012@163.com | |
Jun Cao College of Mechanical and Electrical Engineering Northeast Forestry University Harbin 150040, China email: zdhcaojun@163.com |
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