The lifespan of solutions for a viscoelastic wave equation with a strong damping and logarithmic nonlinearity
نویسندگان
چکیده
منابع مشابه
Exponential energy decay and blow-up of solutions for a system of nonlinear viscoelastic wave equations with strong damping
with initial and Dirichlet boundary conditions. We prove that, under suitable assumptions on the functions gi, fi (i = 1, 2) and certain initial data in the stable set, the decay rate of the solution energy is exponential. Conversely, for certain initial data in the unstable set, there are solutions with positive initial energy that blow up in finite time. 2000 Mathematics Subject Classificatio...
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Decay Rate for a Viscoelastic Equation with Strong Damping and Acoustic Boundary Conditions
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Abstract. A viscoelastic equation with Balakrishnan-Taylor damping and nonlinear boundary/interior sources is considered in a bounded domain. Under appropriate assumptions on the relaxation function and with certain initial data and by adopting the perturbed energy method, we establish uniform decay rate of the solution energy in terms of the behavior of the relaxation function, which are not n...
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ژورنال
عنوان ژورنال: Evolution Equations & Control Theory
سال: 2021
ISSN: 2163-2480
DOI: 10.3934/eect.2021025