Existence and exponential decay of solutions for transmission problems with delay
In this article we consider a transmission problem in a bounded domain with a delay term in the first equation. Under suitable assumptions on the weight of the damping and the weight of the delay, we prove the existence and the uniqueness of the solution using the semigroup theory. Also we show...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-10-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/212/abstr.html |
| Summary: | In this article we consider a transmission problem in a bounded domain with a
delay term in the first equation. Under suitable assumptions on the
weight of the damping and the weight of the delay, we prove the
existence and the uniqueness of the solution using the semigroup theory.
Also we show the exponential stability of the solution by introducing a
suitable Lyaponov functional. |
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| ISSN: | 1072-6691 |