Publication:
Blow-Up of Solution of Lam� Wave Equation with Fractional Damping and Logarithmic Nonlinearity Source Terms

Date
2023
Authors
Benramdane A.
Mezouar N.
Bensaber F.
Boulaaras S.
Jan R.
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Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
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Abstract
In this work, by the use of a semigroup theory approach, we provide a global solution for an initial boundary value problem of the wave equation with logarithmic nonlinear source terms and fractional boundary dissipation. In addition to this, we establish a blow-up result for the solution under the condition of non-positive initial energy. � 2023 by the authors.
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Keywords
blow-up , fractional boundary dissipation , logarithmic Lam� system , mathematical operators , partial differential equations
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