10 citations
2 papers
math.AP2022★ 10 cited
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…
math.AP2021★ 10 cited
Semilinear wave equations of derivative type with spatial weights in one space dimension
Shunsuke Kitamura, Katsuaki Morisawa, Hiroyuki Takamura
This paper is devoted to the initial value problems for semilinear wave equations of derivative type with spatial weights in one space dimension. The lifespan estimates of classica…