5 citations · 5 across the 1 of their papers we have counts for
8 papers
Heat-like and wave-like lifespan estimates for solutions of semilinear damped wave equations via a Kato's type lemma
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study several semilinear damped wave equations with "subcritical" nonlinearities, focusing on demonstrating lifespan estimates for energy solutions. Our main conce…
Short time blow-up by negative mass term for semilinear wave equations with small data and scattering damping
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we study blow-up and lifespan estimate for solutions to the Cauchy problem with small data for semilinear wave equations with scattering damping and negative mass ter…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations in the scattering case with mixed nonlinear terms
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up of solutions to a weakly coupled system of semilinear damped wave equations in the scattering case with nonlinearities of mixed type, namely,…
Nonexistence of global solutions for a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case
Alessandro Palmieri, Hiroyuki Takamura
In this paper we consider the blow-up for solutions to a weakly coupled system of semilinear damped wave equations of derivative type in the scattering case. After introducing suit…
Blow-up for a weakly coupled system of semilinear damped wave equations in the scattering case with power nonlinearities
Alessandro Palmieri, Hiroyuki Takamura
In this work we study the blow-up of solutions of a weakly coupled system of damped semilinear wave equations in the scattering case with power nonlinearities. We apply an iteratio…
Wave-like blow-up for semilinear wave equations with scattering damping and negative mass term
Ning-An Lai, Nico Michele Schiavone, Hiroyuki Takamura
In this paper we establish blow-up results and lifespan estimates for semilinear wave equations with scattering damping and negative mass term for subcritical power, which is the s…