Katsuaki Morisawa, Takiko Sasaki, Hiroyuki Takamura
Published 2022-05-15Version 1
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 appears only in the case that the total integral of the initial speed is zero. It is remarkable that, including the combined effect case, our results on the lifespan estimates are partially better than those of the general theory for nonlinear wave equations.
Semilinear wave equations of derivative type with characteristic weights in one space dimension
Recent developments on the lifespan estimate for classical solutions of nonlinear wave equations in one space dimension
The lifespan estimates of radially symmetric solutions to systems of nonlinear wave equations in even space dimensions
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