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math.AP2026
Strauss and Glassey exponents for semilinear wave equations with a non-effective and not scattering producing damping
Wanderley Nunes do Nascimento, Alessandro Palmieri
In this paper, we study the Cauchy problems for a semilinear damped wave equation with a time-dependent coefficient for the damping term belonging to the class of non-effective dam…
math.AP2026
Semilinear damped wave equation on a compact Lie group with a non-autonomous forcing term
Wenhui Chen, Sandra Lucente, Alessandro Palmieri
In the present note, we consider a semilinear damped wave equation on a compact Lie group with a non-autonomous nonlinearity . We are interested in describing how the no…
math.AP2026
Blow-up and sharp lifespan estimates for a weakly coupled system of semilinear wave equations on a compact Lie group
Wenhui Chen, Alessandro Palmieri
In this paper, we investigate the blow-up in finite time and the corresponding lifespan estimates for a weakly coupled system of wave equations on a compact Lie group. In particula…