Gang Li, Danhua Wang, Biqing Zhu
Abstract:
In this article, we consider a transmission problem in the presence of
history and delay terms. Under appropriate hypothesis on the relaxation
function and the relationship between the weight of the damping and
the weight of the delay, we prove well-posedness by using the semigroup
theory. Also we establish a decay result by introducing a suitable
Lyaponov functional.
Submitted March 20, 2015. Published January 13, 2016.
Math Subject Classifications: 35B37, 35L55, 74D05, 93D15, 93D20.
Key Words: Wave equation; transmission problem; past history; delay term.
Show me the PDF file (311 KB), TEX file for this article.
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Gang Li College of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing 210044, China email: ligang@nuist.edu.cn |
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Danhua Wang College of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing 210044, China email: matdhwang@yeah.net |
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Biqing Zhu College of Mathematics and Statistics Nanjing University of Information Science and Technology Nanjing 210044, China email: brucechu@163.com |
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