In this work, we determine the critical exponent for a weakly coupled system of semilinear
wave equations with distinct scale-invariant lower-order terms, when these terms make both …

This paper focuses on the study of global existence (in time) of solutions to a weakly coupled
system of Cauchy problem for semilinear σ k-evolution models with δ k-visco-elastic …

We prove the global existence of small data solution in all spaces of all dimensions n≥ 1
n≧1 for weakly coupled systems of semilinear effectively damped wave, with different time …

In this paper, we are interested in studying the Cauchy problem for a weakly coupled system
of two semi-linear structurally damped σ k-evolution equations, where σ k≥ 1 for k= 1, 2. Our …

In this paper, our interest is the global existence of small data solutions to the Cauchy
problem for weakly coupled systems of semilinear damped waves with different scale …

In the present paper, we are interested to study global (in time) existence of small data
Sobolev solutions to the Cauchy problem for a weakly coupled system of two semilinear σ k …

In this paper we prove a blow-up result for the semi linear system of weakly coupled
effectively damped waves with different power nonlinearities utt−∆ u+ b (t) ut=| v| p, vtt−∆ v+ b …

We mainly consider semilinear thermoelastic plate systems with general power
nonlinearities in the whole space R n. By applying the Fourier analysis, some sharp (Lq∩ …

We consider weakly coupled systems of semilinear viscoelastic wave equations with
different power source nonlinearities in $\mathbb {R}^ n $, $ n\geq1 $ as follows:\begin …

We are concerned with the existence of global in time solutions to the Cauchy problem for
semi-linear Klein-Gordon equations with memory-type dissipation in $\mathbb {R}^ n $. In …