Attractors for Semilinear Wave Equations with Acoustic Transmission Conditions

We consider the mixed problem with acoustic transmission conditions for semilinear hyperbolic equations. The existence and uniqueness are proved; a smoothness result is also obtained. The main result is the proof of the existence of a global attractor for the problem in question.

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Bibliographic Details
Published inDifferential equations Vol. 56; no. 4; pp. 447 - 461
Main Authors Aliev, A. B., Isayeva, S. E.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.04.2020
Springer
Subjects
Difference and Functional Equations
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:We consider the mixed problem with acoustic transmission conditions for semilinear hyperbolic equations. The existence and uniqueness are proved; a smoothness result is also obtained. The main result is the proof of the existence of a global attractor for the problem in question.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266120040059