93 citations · 491 across the 27 of their papers we have counts for
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The combined effect in one space dimension beyond the general theory for nonlinear wave equations
Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura
In this paper, we show the so-called "combined effect" of two different kinds of nonlinear terms for semilinear wave equations in one space dimension. Such a special phenomenon app…
The lifespan estimates of classical solutions of one dimensional semilinear wave equations with characteristic weights
Shunsuke Kitamura, Hiroyuki Takamura, Kyouhei Wakasa
In this paper, we study the lifespan estimates of classical solutions for semilinear wave equations with characteristic weights and compactly supported data in one space dimension.…
On a semilinear wave equation in anti-de Sitter spacetime: the critical case
Alessandro Palmieri, Hiroyuki Takamura
In the present paper we prove the blow-up in finite time for local solutions of a semilinear Cauchy problem associated with a wave equation in anti-de Sitter spacetime in the criti…
A note on blow-up results for semilinear wave equations in de Sitter and anti-de Sitter spacetimes
Alessandro Palmieri, Hiroyuki Takamura
In this work we derive some blow-up results for semilinear wave equations both in de Sitter and anti-de Sitter spacetimes. By requiring suitable conditions on a time-dependent fact…
A blow-up result for a Nakao-type weakly coupled system with nonlinearities of derivative-type
Alessandro Palmieri, Hiroyuki Takamura
In this paper, we consider a weakly coupled system of a wave and damped Klein-Gordon equation with nonlinearities of derivative type. We prove a blow-up result for the Cauchy probl…