Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities

作者: Alessandro Palmieri , Hiroyuki Takamura

DOI: 10.1016/J.NA.2019.06.016

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摘要: Abstract In this work we study the blow-up of solutions a weakly coupled system damped semilinear wave equations in scattering case with power nonlinearities. We apply an iteration method to both subcritical and critical case. our approach is based on lower bounds for space averages components local solutions. use slicing couple auxiliary functions, recently introduced by Wakasa–Yordanov, modify definition functionals introduction weight terms. particular, find as curve pair ( p , q ) exponents nonlinear terms same one

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