Well-posedness and decay of solutions for a transmission problem with history and delay
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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2016-01-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2016/23/abstr.html |
Summary: | 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. |
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ISSN: | 1072-6691 |