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- Title
Exponential stability of the nonlinear transmission acoustic problem.
- Authors
Aliev, Akbar B.; Isayeva, Sevda E.
- Abstract
In this paper, we consider a mixed problem for the nonlinear wave equations with transmission acoustic conditions, that is, the wave propagation over bodies consisting of two physically different types of materials, one of which is clamped. We prove the existence, uniqueness, and exponential stability of global solutions for this problem.
- Subjects
EXISTENCE theorems; NONLINEAR analysis; EXPONENTIAL stability; WAVE equation; UNIQUENESS (Mathematics)
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 16, p7055
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.5215