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Decay Properties for Transmission System with Infinite Memory and Distributed Delay.
- Source :
-
Fractal & Fractional . Feb2024, Vol. 8 Issue 2, p94. 18p. - Publication Year :
- 2024
-
Abstract
- We consider a damped transmission problem in a bounded domain where the damping is effective in a neighborhood of a suitable subset of the boundary. Using the semigroup approach together with Hille–Yosida theorem, we prove the existence and uniqueness of global solution. Under suitable assumption on the geometrical conditions on the damping, we establish the exponential stability of the solution by introducing a suitable Lyapunov functional. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EXPONENTIAL stability
*PARTIAL differential equations
Subjects
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 8
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 175647339
- Full Text :
- https://doi.org/10.3390/fractalfract8020094