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Semi‐linear wave models with power non‐linearity and scale‐invariant time‐dependent mass and dissipation

2016; Wiley; Volume: 290; Issue: 11-12 Linguagem: Inglês

10.1002/mana.201600069

1522-2616

Wanderley Nunes do Nascimento, Alessandro Palmieri, Michael Reissig,

Nonlinear Waves and Solitons

In this paper we will consider the semi‐linear Cauchy problem for wave models with scale‐invariant time‐dependent mass and dissipation and power non‐linearity. The goal is to study the interplay between the coefficients of the mass and the dissipation term to prove blow‐up results or global existence (in time) of small data energy solutions.