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: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-01-01
|
| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/23/abstr.html |
| id |
doaj-ceda916c61d843a1b7cb445d4fd79f23 |
|---|---|
| record_format |
Article |
| spelling |
doaj-ceda916c61d843a1b7cb445d4fd79f232020-11-24T23:01:21ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-01-01201623,121Well-posedness and decay of solutions for a transmission problem with history and delayGang Li0Danhua Wang1Biqing Zhu2 Nanjing Univ. of Information Science and Tech., Nanjing, China Nanjing Univ. of Information Science and Tech., Nanjing, China Nanjing Univ. of Information Science and Tech., Nanjing, China 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.http://ejde.math.txstate.edu/Volumes/2016/23/abstr.htmlWave equationtransmission problempast historydelay term |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gang Li Danhua Wang Biqing Zhu |
| spellingShingle |
Gang Li Danhua Wang Biqing Zhu Well-posedness and decay of solutions for a transmission problem with history and delay Electronic Journal of Differential Equations Wave equation transmission problem past history delay term |
| author_facet |
Gang Li Danhua Wang Biqing Zhu |
| author_sort |
Gang Li |
| title |
Well-posedness and decay of solutions for a transmission problem with history and delay |
| title_short |
Well-posedness and decay of solutions for a transmission problem with history and delay |
| title_full |
Well-posedness and decay of solutions for a transmission problem with history and delay |
| title_fullStr |
Well-posedness and decay of solutions for a transmission problem with history and delay |
| title_full_unstemmed |
Well-posedness and decay of solutions for a transmission problem with history and delay |
| title_sort |
well-posedness and decay of solutions for a transmission problem with history and delay |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2016-01-01 |
| description |
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. |
| topic |
Wave equation transmission problem past history delay term |
| url |
http://ejde.math.txstate.edu/Volumes/2016/23/abstr.html |
| work_keys_str_mv |
AT gangli wellposednessanddecayofsolutionsforatransmissionproblemwithhistoryanddelay AT danhuawang wellposednessanddecayofsolutionsforatransmissionproblemwithhistoryanddelay AT biqingzhu wellposednessanddecayofsolutionsforatransmissionproblemwithhistoryanddelay |
| _version_ |
1725639820381782016 |