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.
Journal Title
Journal ISSN
Volume Title
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
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.
Description
Keywords
blow-up , fractional boundary dissipation , logarithmic Lam� system , mathematical operators , partial differential equations