论文信息 - Blow-up of solutions to semilinear wave equations with a time-dependent strong damping

Blow-up of solutions to semilinear wave equations with a time-dependent strong damping

The paper investigates a class of a semilinear wave equation with time-dependent damping term (− 1 (1+t) ∆ut) and a nonlinearity |u|. We will show the influence of the the parameter β in the blow-up results under some hypothesis on the initial data and the exponent p by using the test function method. We also study the local existence in time of mild solution in the energy space H(R) × L(R).

Ahmad Z. Fino | Mohamed Hamza | A. Fino | M. Hamza

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