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STUDIA MATHEMATICA - Issue no. 3 / 2020 | |||||||
Article: |
EXPONENTIAL DECAY OF THE VISCOELASTIC WAVE EQUATION OF KIRCHHOFF TYPE WITH A NONLOCAL DISSIPATION. Authors: MOHAMED MELLAH, ALI HAKEM. |
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Abstract: DOI: 10.24193/subbmath.2020.3.10 Published Online: 2020-09-15 Published Print: 2020-09-15 pp. 429-451 VIEW PDF: FULL PDF ABSTRACT: The viscoelastic wave equation of Kirchhoff type with nonlinear and nonlocal damping is considered in a bounded domain of R^N. The existence of global solutions and decay rates of the energy are proved. Key words: Kirchhoff equation; nonlocal damping; global solution; energy decay; relaxation function |
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